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Simplifying 2(x + 4) + -6x + 3(4x + -6) = 2(4x + -6) + -3(5x + 2) Reorder the terms: 2(4 + x) + -6x + 3(4x + -6) = 2(4x + -6) + -3(5x + 2) (4 * 2 + x * 2) + -6x + 3(4x + -6) = 2(4x + -6) + -3(5x + 2) (8 + 2x) + -6x + 3(4x + -6) = 2(4x + -6) + -3(5x + 2) Reorder the terms: 8 + 2x + -6x + 3(-6 + 4x) = 2(4x + -6) + -3(5x + 2) 8 + 2x + -6x + (-6 * 3 + 4x * 3) = 2(4x + -6) + -3(5x + 2) 8 + 2x + -6x + (-18 + 12x) = 2(4x + -6) + -3(5x + 2) Reorder the terms: 8 + -18 + 2x + -6x + 12x = 2(4x + -6) + -3(5x + 2) Combine like terms: 8 + -18 = -10 -10 + 2x + -6x + 12x = 2(4x + -6) + -3(5x + 2) Combine like terms: 2x + -6x = -4x -10 + -4x + 12x = 2(4x + -6) + -3(5x + 2) Combine like terms: -4x + 12x = 8x -10 + 8x = 2(4x + -6) + -3(5x + 2) Reorder the terms: -10 + 8x = 2(-6 + 4x) + -3(5x + 2) -10 + 8x = (-6 * 2 + 4x * 2) + -3(5x + 2) -10 + 8x = (-12 + 8x) + -3(5x + 2) Reorder the terms: -10 + 8x = -12 + 8x + -3(2 + 5x) -10 + 8x = -12 + 8x + (2 * -3 + 5x * -3) -10 + 8x = -12 + 8x + (-6 + -15x) Reorder the terms: -10 + 8x = -12 + -6 + 8x + -15x Combine like terms: -12 + -6 = -18 -10 + 8x = -18 + 8x + -15x Combine like terms: 8x + -15x = -7x -10 + 8x = -18 + -7x Solving -10 + 8x = -18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 8x + 7x = -18 + -7x + 7x Combine like terms: 8x + 7x = 15x -10 + 15x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 15x = -18 + 0 -10 + 15x = -18 Add '10' to each side of the equation. -10 + 10 + 15x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -18 + 10 15x = -18 + 10 Combine like terms: -18 + 10 = -8 15x = -8 Divide each side by '15'. x = -0.5333333333 Simplifying x = -0.5333333333
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