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Simplifying 2(5x + -6) + -3(3x + -4) = 2(3x + 7) + 1 Reorder the terms: 2(-6 + 5x) + -3(3x + -4) = 2(3x + 7) + 1 (-6 * 2 + 5x * 2) + -3(3x + -4) = 2(3x + 7) + 1 (-12 + 10x) + -3(3x + -4) = 2(3x + 7) + 1 Reorder the terms: -12 + 10x + -3(-4 + 3x) = 2(3x + 7) + 1 -12 + 10x + (-4 * -3 + 3x * -3) = 2(3x + 7) + 1 -12 + 10x + (12 + -9x) = 2(3x + 7) + 1 Reorder the terms: -12 + 12 + 10x + -9x = 2(3x + 7) + 1 Combine like terms: -12 + 12 = 0 0 + 10x + -9x = 2(3x + 7) + 1 10x + -9x = 2(3x + 7) + 1 Combine like terms: 10x + -9x = 1x 1x = 2(3x + 7) + 1 Reorder the terms: 1x = 2(7 + 3x) + 1 1x = (7 * 2 + 3x * 2) + 1 1x = (14 + 6x) + 1 Reorder the terms: 1x = 14 + 1 + 6x Combine like terms: 14 + 1 = 15 1x = 15 + 6x Solving 1x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1x + -6x = 15 + 6x + -6x Combine like terms: 1x + -6x = -5x -5x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -5x = 15 + 0 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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