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Simplifying 6 + -1(x + -3) = 7(x + -2) + -1 Reorder the terms: 6 + -1(-3 + x) = 7(x + -2) + -1 6 + (-3 * -1 + x * -1) = 7(x + -2) + -1 6 + (3 + -1x) = 7(x + -2) + -1 Combine like terms: 6 + 3 = 9 9 + -1x = 7(x + -2) + -1 Reorder the terms: 9 + -1x = 7(-2 + x) + -1 9 + -1x = (-2 * 7 + x * 7) + -1 9 + -1x = (-14 + 7x) + -1 Reorder the terms: 9 + -1x = -14 + -1 + 7x Combine like terms: -14 + -1 = -15 9 + -1x = -15 + 7x Solving 9 + -1x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + -1x + -7x = -15 + 7x + -7x Combine like terms: -1x + -7x = -8x 9 + -8x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -8x = -15 + 0 9 + -8x = -15 Add '-9' to each side of the equation. 9 + -9 + -8x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -15 + -9 -8x = -15 + -9 Combine like terms: -15 + -9 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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