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Simplifying 2(2x + -6) + -3 = 2(x + -5) + 13 Reorder the terms: 2(-6 + 2x) + -3 = 2(x + -5) + 13 (-6 * 2 + 2x * 2) + -3 = 2(x + -5) + 13 (-12 + 4x) + -3 = 2(x + -5) + 13 Reorder the terms: -12 + -3 + 4x = 2(x + -5) + 13 Combine like terms: -12 + -3 = -15 -15 + 4x = 2(x + -5) + 13 Reorder the terms: -15 + 4x = 2(-5 + x) + 13 -15 + 4x = (-5 * 2 + x * 2) + 13 -15 + 4x = (-10 + 2x) + 13 Reorder the terms: -15 + 4x = -10 + 13 + 2x Combine like terms: -10 + 13 = 3 -15 + 4x = 3 + 2x Solving -15 + 4x = 3 + 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. -15 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x -15 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 2x = 3 + 0 -15 + 2x = 3 Add '15' to each side of the equation. -15 + 15 + 2x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 3 + 15 2x = 3 + 15 Combine like terms: 3 + 15 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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