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Simplifying 3(2x + -5) + 3 = -4(-1x + 3) + -2 Reorder the terms: 3(-5 + 2x) + 3 = -4(-1x + 3) + -2 (-5 * 3 + 2x * 3) + 3 = -4(-1x + 3) + -2 (-15 + 6x) + 3 = -4(-1x + 3) + -2 Reorder the terms: -15 + 3 + 6x = -4(-1x + 3) + -2 Combine like terms: -15 + 3 = -12 -12 + 6x = -4(-1x + 3) + -2 Reorder the terms: -12 + 6x = -4(3 + -1x) + -2 -12 + 6x = (3 * -4 + -1x * -4) + -2 -12 + 6x = (-12 + 4x) + -2 Reorder the terms: -12 + 6x = -12 + -2 + 4x Combine like terms: -12 + -2 = -14 -12 + 6x = -14 + 4x Solving -12 + 6x = -14 + 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. -12 + 6x + -4x = -14 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = -14 + 0 -12 + 2x = -14 Add '12' to each side of the equation. -12 + 12 + 2x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -14 + 12 2x = -14 + 12 Combine like terms: -14 + 12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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