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Simplifying 9x + -1(3x + -4) = 10(x + -5) + 7 Reorder the terms: 9x + -1(-4 + 3x) = 10(x + -5) + 7 9x + (-4 * -1 + 3x * -1) = 10(x + -5) + 7 9x + (4 + -3x) = 10(x + -5) + 7 Reorder the terms: 4 + 9x + -3x = 10(x + -5) + 7 Combine like terms: 9x + -3x = 6x 4 + 6x = 10(x + -5) + 7 Reorder the terms: 4 + 6x = 10(-5 + x) + 7 4 + 6x = (-5 * 10 + x * 10) + 7 4 + 6x = (-50 + 10x) + 7 Reorder the terms: 4 + 6x = -50 + 7 + 10x Combine like terms: -50 + 7 = -43 4 + 6x = -43 + 10x Solving 4 + 6x = -43 + 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. 4 + 6x + -10x = -43 + 10x + -10x Combine like terms: 6x + -10x = -4x 4 + -4x = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -4x = -43 + 0 4 + -4x = -43 Add '-4' to each side of the equation. 4 + -4 + -4x = -43 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -43 + -4 -4x = -43 + -4 Combine like terms: -43 + -4 = -47 -4x = -47 Divide each side by '-4'. x = 11.75 Simplifying x = 11.75
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