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Simplifying 8x + -27 + -5(2x + -3) = 62 + -1(3x + 8) Reorder the terms: 8x + -27 + -5(-3 + 2x) = 62 + -1(3x + 8) 8x + -27 + (-3 * -5 + 2x * -5) = 62 + -1(3x + 8) 8x + -27 + (15 + -10x) = 62 + -1(3x + 8) Reorder the terms: -27 + 15 + 8x + -10x = 62 + -1(3x + 8) Combine like terms: -27 + 15 = -12 -12 + 8x + -10x = 62 + -1(3x + 8) Combine like terms: 8x + -10x = -2x -12 + -2x = 62 + -1(3x + 8) Reorder the terms: -12 + -2x = 62 + -1(8 + 3x) -12 + -2x = 62 + (8 * -1 + 3x * -1) -12 + -2x = 62 + (-8 + -3x) Combine like terms: 62 + -8 = 54 -12 + -2x = 54 + -3x Solving -12 + -2x = 54 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + -2x + 3x = 54 + -3x + 3x Combine like terms: -2x + 3x = 1x -12 + 1x = 54 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 1x = 54 + 0 -12 + 1x = 54 Add '12' to each side of the equation. -12 + 12 + 1x = 54 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 54 + 12 1x = 54 + 12 Combine like terms: 54 + 12 = 66 1x = 66 Divide each side by '1'. x = 66 Simplifying x = 66
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