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Simplifying 6(x + -2) + -3x = 2(2x + 3) + -2 Reorder the terms: 6(-2 + x) + -3x = 2(2x + 3) + -2 (-2 * 6 + x * 6) + -3x = 2(2x + 3) + -2 (-12 + 6x) + -3x = 2(2x + 3) + -2 Combine like terms: 6x + -3x = 3x -12 + 3x = 2(2x + 3) + -2 Reorder the terms: -12 + 3x = 2(3 + 2x) + -2 -12 + 3x = (3 * 2 + 2x * 2) + -2 -12 + 3x = (6 + 4x) + -2 Reorder the terms: -12 + 3x = 6 + -2 + 4x Combine like terms: 6 + -2 = 4 -12 + 3x = 4 + 4x Solving -12 + 3x = 4 + 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 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = 4 + 0 -12 + -1x = 4 Add '12' to each side of the equation. -12 + 12 + -1x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 4 + 12 -1x = 4 + 12 Combine like terms: 4 + 12 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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