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Simplifying 7 = 3(x + -1) + -1(x + -6) Reorder the terms: 7 = 3(-1 + x) + -1(x + -6) 7 = (-1 * 3 + x * 3) + -1(x + -6) 7 = (-3 + 3x) + -1(x + -6) Reorder the terms: 7 = -3 + 3x + -1(-6 + x) 7 = -3 + 3x + (-6 * -1 + x * -1) 7 = -3 + 3x + (6 + -1x) Reorder the terms: 7 = -3 + 6 + 3x + -1x Combine like terms: -3 + 6 = 3 7 = 3 + 3x + -1x Combine like terms: 3x + -1x = 2x 7 = 3 + 2x Solving 7 = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = 3 + 0 7 + -2x = 3 Add '-7' to each side of the equation. 7 + -7 + -2x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 3 + -7 -2x = 3 + -7 Combine like terms: 3 + -7 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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