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Simplifying 2(x + 3) + 6 = 4(x + -1) Reorder the terms: 2(3 + x) + 6 = 4(x + -1) (3 * 2 + x * 2) + 6 = 4(x + -1) (6 + 2x) + 6 = 4(x + -1) Reorder the terms: 6 + 6 + 2x = 4(x + -1) Combine like terms: 6 + 6 = 12 12 + 2x = 4(x + -1) Reorder the terms: 12 + 2x = 4(-1 + x) 12 + 2x = (-1 * 4 + x * 4) 12 + 2x = (-4 + 4x) Solving 12 + 2x = -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 + 2x + -4x = -4 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 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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