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Simplifying -3(x + -2) + 6 = 2(2x + -2) Reorder the terms: -3(-2 + x) + 6 = 2(2x + -2) (-2 * -3 + x * -3) + 6 = 2(2x + -2) (6 + -3x) + 6 = 2(2x + -2) Reorder the terms: 6 + 6 + -3x = 2(2x + -2) Combine like terms: 6 + 6 = 12 12 + -3x = 2(2x + -2) Reorder the terms: 12 + -3x = 2(-2 + 2x) 12 + -3x = (-2 * 2 + 2x * 2) 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 = -7x 12 + -7x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -7x = -4 + 0 12 + -7x = -4 Add '-12' to each side of the equation. 12 + -12 + -7x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -4 + -12 -7x = -4 + -12 Combine like terms: -4 + -12 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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