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Simplifying 3x + 16 + -1(x + -7) = 5(2x + -5) Reorder the terms: 3x + 16 + -1(-7 + x) = 5(2x + -5) 3x + 16 + (-7 * -1 + x * -1) = 5(2x + -5) 3x + 16 + (7 + -1x) = 5(2x + -5) Reorder the terms: 16 + 7 + 3x + -1x = 5(2x + -5) Combine like terms: 16 + 7 = 23 23 + 3x + -1x = 5(2x + -5) Combine like terms: 3x + -1x = 2x 23 + 2x = 5(2x + -5) Reorder the terms: 23 + 2x = 5(-5 + 2x) 23 + 2x = (-5 * 5 + 2x * 5) 23 + 2x = (-25 + 10x) Solving 23 + 2x = -25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 23 + 2x + -10x = -25 + 10x + -10x Combine like terms: 2x + -10x = -8x 23 + -8x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + -8x = -25 + 0 23 + -8x = -25 Add '-23' to each side of the equation. 23 + -23 + -8x = -25 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -25 + -23 -8x = -25 + -23 Combine like terms: -25 + -23 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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