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Simplifying 10x + -5(3x + -7) = 8(x + -6) + 7 Reorder the terms: 10x + -5(-7 + 3x) = 8(x + -6) + 7 10x + (-7 * -5 + 3x * -5) = 8(x + -6) + 7 10x + (35 + -15x) = 8(x + -6) + 7 Reorder the terms: 35 + 10x + -15x = 8(x + -6) + 7 Combine like terms: 10x + -15x = -5x 35 + -5x = 8(x + -6) + 7 Reorder the terms: 35 + -5x = 8(-6 + x) + 7 35 + -5x = (-6 * 8 + x * 8) + 7 35 + -5x = (-48 + 8x) + 7 Reorder the terms: 35 + -5x = -48 + 7 + 8x Combine like terms: -48 + 7 = -41 35 + -5x = -41 + 8x Solving 35 + -5x = -41 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + -5x + -8x = -41 + 8x + -8x Combine like terms: -5x + -8x = -13x 35 + -13x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -13x = -41 + 0 35 + -13x = -41 Add '-35' to each side of the equation. 35 + -35 + -13x = -41 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = -41 + -35 -13x = -41 + -35 Combine like terms: -41 + -35 = -76 -13x = -76 Divide each side by '-13'. x = 5.846153846 Simplifying x = 5.846153846
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