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Simplifying 4(2x + 3) + -2(3x + 7) = 3(2x + -4) Reorder the terms: 4(3 + 2x) + -2(3x + 7) = 3(2x + -4) (3 * 4 + 2x * 4) + -2(3x + 7) = 3(2x + -4) (12 + 8x) + -2(3x + 7) = 3(2x + -4) Reorder the terms: 12 + 8x + -2(7 + 3x) = 3(2x + -4) 12 + 8x + (7 * -2 + 3x * -2) = 3(2x + -4) 12 + 8x + (-14 + -6x) = 3(2x + -4) Reorder the terms: 12 + -14 + 8x + -6x = 3(2x + -4) Combine like terms: 12 + -14 = -2 -2 + 8x + -6x = 3(2x + -4) Combine like terms: 8x + -6x = 2x -2 + 2x = 3(2x + -4) Reorder the terms: -2 + 2x = 3(-4 + 2x) -2 + 2x = (-4 * 3 + 2x * 3) -2 + 2x = (-12 + 6x) Solving -2 + 2x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 2x + -6x = -12 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = -12 + 0 -2 + -4x = -12 Add '2' to each side of the equation. -2 + 2 + -4x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -12 + 2 -4x = -12 + 2 Combine like terms: -12 + 2 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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