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Simplifying 9 = 4(x + -4) + -1(x + -7) Reorder the terms: 9 = 4(-4 + x) + -1(x + -7) 9 = (-4 * 4 + x * 4) + -1(x + -7) 9 = (-16 + 4x) + -1(x + -7) Reorder the terms: 9 = -16 + 4x + -1(-7 + x) 9 = -16 + 4x + (-7 * -1 + x * -1) 9 = -16 + 4x + (7 + -1x) Reorder the terms: 9 = -16 + 7 + 4x + -1x Combine like terms: -16 + 7 = -9 9 = -9 + 4x + -1x Combine like terms: 4x + -1x = 3x 9 = -9 + 3x Solving 9 = -9 + 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. 9 + -3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -3x = -9 + 0 9 + -3x = -9 Add '-9' to each side of the equation. 9 + -9 + -3x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -9 + -9 -3x = -9 + -9 Combine like terms: -9 + -9 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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