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Simplifying 2(2x + -1) + -3(x + -5) = 5x + -3(2x + -7) + 8 Reorder the terms: 2(-1 + 2x) + -3(x + -5) = 5x + -3(2x + -7) + 8 (-1 * 2 + 2x * 2) + -3(x + -5) = 5x + -3(2x + -7) + 8 (-2 + 4x) + -3(x + -5) = 5x + -3(2x + -7) + 8 Reorder the terms: -2 + 4x + -3(-5 + x) = 5x + -3(2x + -7) + 8 -2 + 4x + (-5 * -3 + x * -3) = 5x + -3(2x + -7) + 8 -2 + 4x + (15 + -3x) = 5x + -3(2x + -7) + 8 Reorder the terms: -2 + 15 + 4x + -3x = 5x + -3(2x + -7) + 8 Combine like terms: -2 + 15 = 13 13 + 4x + -3x = 5x + -3(2x + -7) + 8 Combine like terms: 4x + -3x = 1x 13 + 1x = 5x + -3(2x + -7) + 8 Reorder the terms: 13 + 1x = 5x + -3(-7 + 2x) + 8 13 + 1x = 5x + (-7 * -3 + 2x * -3) + 8 13 + 1x = 5x + (21 + -6x) + 8 Reorder the terms: 13 + 1x = 21 + 8 + 5x + -6x Combine like terms: 21 + 8 = 29 13 + 1x = 29 + 5x + -6x Combine like terms: 5x + -6x = -1x 13 + 1x = 29 + -1x Solving 13 + 1x = 29 + -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. 13 + 1x + x = 29 + -1x + x Combine like terms: 1x + x = 2x 13 + 2x = 29 + -1x + x Combine like terms: -1x + x = 0 13 + 2x = 29 + 0 13 + 2x = 29 Add '-13' to each side of the equation. 13 + -13 + 2x = 29 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 29 + -13 2x = 29 + -13 Combine like terms: 29 + -13 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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