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Simplifying 2(3x + -6) + -3 = 2(x + -2) + 13 Reorder the terms: 2(-6 + 3x) + -3 = 2(x + -2) + 13 (-6 * 2 + 3x * 2) + -3 = 2(x + -2) + 13 (-12 + 6x) + -3 = 2(x + -2) + 13 Reorder the terms: -12 + -3 + 6x = 2(x + -2) + 13 Combine like terms: -12 + -3 = -15 -15 + 6x = 2(x + -2) + 13 Reorder the terms: -15 + 6x = 2(-2 + x) + 13 -15 + 6x = (-2 * 2 + x * 2) + 13 -15 + 6x = (-4 + 2x) + 13 Reorder the terms: -15 + 6x = -4 + 13 + 2x Combine like terms: -4 + 13 = 9 -15 + 6x = 9 + 2x Solving -15 + 6x = 9 + 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 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = 9 + 0 -15 + 4x = 9 Add '15' to each side of the equation. -15 + 15 + 4x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 9 + 15 4x = 9 + 15 Combine like terms: 9 + 15 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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