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Simplifying 3(2x + -2) + 7 = 2(x + -5) + 3 Reorder the terms: 3(-2 + 2x) + 7 = 2(x + -5) + 3 (-2 * 3 + 2x * 3) + 7 = 2(x + -5) + 3 (-6 + 6x) + 7 = 2(x + -5) + 3 Reorder the terms: -6 + 7 + 6x = 2(x + -5) + 3 Combine like terms: -6 + 7 = 1 1 + 6x = 2(x + -5) + 3 Reorder the terms: 1 + 6x = 2(-5 + x) + 3 1 + 6x = (-5 * 2 + x * 2) + 3 1 + 6x = (-10 + 2x) + 3 Reorder the terms: 1 + 6x = -10 + 3 + 2x Combine like terms: -10 + 3 = -7 1 + 6x = -7 + 2x Solving 1 + 6x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 6x + -2x = -7 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = -7 + 0 1 + 4x = -7 Add '-1' to each side of the equation. 1 + -1 + 4x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -7 + -1 4x = -7 + -1 Combine like terms: -7 + -1 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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