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Simplifying x + -4(x + -5) = 9(x + 1) + -7 Reorder the terms: x + -4(-5 + x) = 9(x + 1) + -7 x + (-5 * -4 + x * -4) = 9(x + 1) + -7 x + (20 + -4x) = 9(x + 1) + -7 Reorder the terms: 20 + x + -4x = 9(x + 1) + -7 Combine like terms: x + -4x = -3x 20 + -3x = 9(x + 1) + -7 Reorder the terms: 20 + -3x = 9(1 + x) + -7 20 + -3x = (1 * 9 + x * 9) + -7 20 + -3x = (9 + 9x) + -7 Reorder the terms: 20 + -3x = 9 + -7 + 9x Combine like terms: 9 + -7 = 2 20 + -3x = 2 + 9x Solving 20 + -3x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + -3x + -9x = 2 + 9x + -9x Combine like terms: -3x + -9x = -12x 20 + -12x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -12x = 2 + 0 20 + -12x = 2 Add '-20' to each side of the equation. 20 + -20 + -12x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 2 + -20 -12x = 2 + -20 Combine like terms: 2 + -20 = -18 -12x = -18 Divide each side by '-12'. x = 1.5 Simplifying x = 1.5
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