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Simplifying 2(3x + 5) + -2(x + -1) = 2(x + -3) + 5 Reorder the terms: 2(5 + 3x) + -2(x + -1) = 2(x + -3) + 5 (5 * 2 + 3x * 2) + -2(x + -1) = 2(x + -3) + 5 (10 + 6x) + -2(x + -1) = 2(x + -3) + 5 Reorder the terms: 10 + 6x + -2(-1 + x) = 2(x + -3) + 5 10 + 6x + (-1 * -2 + x * -2) = 2(x + -3) + 5 10 + 6x + (2 + -2x) = 2(x + -3) + 5 Reorder the terms: 10 + 2 + 6x + -2x = 2(x + -3) + 5 Combine like terms: 10 + 2 = 12 12 + 6x + -2x = 2(x + -3) + 5 Combine like terms: 6x + -2x = 4x 12 + 4x = 2(x + -3) + 5 Reorder the terms: 12 + 4x = 2(-3 + x) + 5 12 + 4x = (-3 * 2 + x * 2) + 5 12 + 4x = (-6 + 2x) + 5 Reorder the terms: 12 + 4x = -6 + 5 + 2x Combine like terms: -6 + 5 = -1 12 + 4x = -1 + 2x Solving 12 + 4x = -1 + 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. 12 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = -1 + 0 12 + 2x = -1 Add '-12' to each side of the equation. 12 + -12 + 2x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -1 + -12 2x = -1 + -12 Combine like terms: -1 + -12 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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