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Simplifying -2(x + -3) + 6x + -18 = -3(4 + -2x) + 16 Reorder the terms: -2(-3 + x) + 6x + -18 = -3(4 + -2x) + 16 (-3 * -2 + x * -2) + 6x + -18 = -3(4 + -2x) + 16 (6 + -2x) + 6x + -18 = -3(4 + -2x) + 16 Reorder the terms: 6 + -18 + -2x + 6x = -3(4 + -2x) + 16 Combine like terms: 6 + -18 = -12 -12 + -2x + 6x = -3(4 + -2x) + 16 Combine like terms: -2x + 6x = 4x -12 + 4x = -3(4 + -2x) + 16 -12 + 4x = (4 * -3 + -2x * -3) + 16 -12 + 4x = (-12 + 6x) + 16 Reorder the terms: -12 + 4x = -12 + 16 + 6x Combine like terms: -12 + 16 = 4 -12 + 4x = 4 + 6x Solving -12 + 4x = 4 + 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. -12 + 4x + -6x = 4 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = 4 + 0 -12 + -2x = 4 Add '12' to each side of the equation. -12 + 12 + -2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 4 + 12 -2x = 4 + 12 Combine like terms: 4 + 12 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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