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Simplifying 15x + -3(3x + -1) = 7(x + -1) Reorder the terms: 15x + -3(-1 + 3x) = 7(x + -1) 15x + (-1 * -3 + 3x * -3) = 7(x + -1) 15x + (3 + -9x) = 7(x + -1) Reorder the terms: 3 + 15x + -9x = 7(x + -1) Combine like terms: 15x + -9x = 6x 3 + 6x = 7(x + -1) Reorder the terms: 3 + 6x = 7(-1 + x) 3 + 6x = (-1 * 7 + x * 7) 3 + 6x = (-7 + 7x) Solving 3 + 6x = -7 + 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. 3 + 6x + -7x = -7 + 7x + -7x Combine like terms: 6x + -7x = -1x 3 + -1x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -1x = -7 + 0 3 + -1x = -7 Add '-3' to each side of the equation. 3 + -3 + -1x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -7 + -3 -1x = -7 + -3 Combine like terms: -7 + -3 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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