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Simplifying -2(x + -3) + 8 = 4(x + 2) + -6 Reorder the terms: -2(-3 + x) + 8 = 4(x + 2) + -6 (-3 * -2 + x * -2) + 8 = 4(x + 2) + -6 (6 + -2x) + 8 = 4(x + 2) + -6 Reorder the terms: 6 + 8 + -2x = 4(x + 2) + -6 Combine like terms: 6 + 8 = 14 14 + -2x = 4(x + 2) + -6 Reorder the terms: 14 + -2x = 4(2 + x) + -6 14 + -2x = (2 * 4 + x * 4) + -6 14 + -2x = (8 + 4x) + -6 Reorder the terms: 14 + -2x = 8 + -6 + 4x Combine like terms: 8 + -6 = 2 14 + -2x = 2 + 4x Solving 14 + -2x = 2 + 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. 14 + -2x + -4x = 2 + 4x + -4x Combine like terms: -2x + -4x = -6x 14 + -6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -6x = 2 + 0 14 + -6x = 2 Add '-14' to each side of the equation. 14 + -14 + -6x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 2 + -14 -6x = 2 + -14 Combine like terms: 2 + -14 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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