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