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Simplifying 7 = 5(x + -3) + -1(x + -6) Reorder the terms: 7 = 5(-3 + x) + -1(x + -6) 7 = (-3 * 5 + x * 5) + -1(x + -6) 7 = (-15 + 5x) + -1(x + -6) Reorder the terms: 7 = -15 + 5x + -1(-6 + x) 7 = -15 + 5x + (-6 * -1 + x * -1) 7 = -15 + 5x + (6 + -1x) Reorder the terms: 7 = -15 + 6 + 5x + -1x Combine like terms: -15 + 6 = -9 7 = -9 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 = -9 + 4x Solving 7 = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -4x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -4x = -9 + 0 7 + -4x = -9 Add '-7' to each side of the equation. 7 + -7 + -4x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -9 + -7 -4x = -9 + -7 Combine like terms: -9 + -7 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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