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Simplifying 8 = 4(x + -4) + -1(x + -9) Reorder the terms: 8 = 4(-4 + x) + -1(x + -9) 8 = (-4 * 4 + x * 4) + -1(x + -9) 8 = (-16 + 4x) + -1(x + -9) Reorder the terms: 8 = -16 + 4x + -1(-9 + x) 8 = -16 + 4x + (-9 * -1 + x * -1) 8 = -16 + 4x + (9 + -1x) Reorder the terms: 8 = -16 + 9 + 4x + -1x Combine like terms: -16 + 9 = -7 8 = -7 + 4x + -1x Combine like terms: 4x + -1x = 3x 8 = -7 + 3x Solving 8 = -7 + 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. 8 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -3x = -7 + 0 8 + -3x = -7 Add '-8' to each side of the equation. 8 + -8 + -3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -7 + -8 -3x = -7 + -8 Combine like terms: -7 + -8 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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