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Simplifying 2(x + -3) + 3(2x + -4) = 2(4x + 1) + -3(4x + -1) Reorder the terms: 2(-3 + x) + 3(2x + -4) = 2(4x + 1) + -3(4x + -1) (-3 * 2 + x * 2) + 3(2x + -4) = 2(4x + 1) + -3(4x + -1) (-6 + 2x) + 3(2x + -4) = 2(4x + 1) + -3(4x + -1) Reorder the terms: -6 + 2x + 3(-4 + 2x) = 2(4x + 1) + -3(4x + -1) -6 + 2x + (-4 * 3 + 2x * 3) = 2(4x + 1) + -3(4x + -1) -6 + 2x + (-12 + 6x) = 2(4x + 1) + -3(4x + -1) Reorder the terms: -6 + -12 + 2x + 6x = 2(4x + 1) + -3(4x + -1) Combine like terms: -6 + -12 = -18 -18 + 2x + 6x = 2(4x + 1) + -3(4x + -1) Combine like terms: 2x + 6x = 8x -18 + 8x = 2(4x + 1) + -3(4x + -1) Reorder the terms: -18 + 8x = 2(1 + 4x) + -3(4x + -1) -18 + 8x = (1 * 2 + 4x * 2) + -3(4x + -1) -18 + 8x = (2 + 8x) + -3(4x + -1) Reorder the terms: -18 + 8x = 2 + 8x + -3(-1 + 4x) -18 + 8x = 2 + 8x + (-1 * -3 + 4x * -3) -18 + 8x = 2 + 8x + (3 + -12x) Reorder the terms: -18 + 8x = 2 + 3 + 8x + -12x Combine like terms: 2 + 3 = 5 -18 + 8x = 5 + 8x + -12x Combine like terms: 8x + -12x = -4x -18 + 8x = 5 + -4x Solving -18 + 8x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 8x + 4x = 5 + -4x + 4x Combine like terms: 8x + 4x = 12x -18 + 12x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 12x = 5 + 0 -18 + 12x = 5 Add '18' to each side of the equation. -18 + 18 + 12x = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 5 + 18 12x = 5 + 18 Combine like terms: 5 + 18 = 23 12x = 23 Divide each side by '12'. x = 1.916666667 Simplifying x = 1.916666667
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