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Simplifying 15 + -4(x + -1) = 7(x + -2) Reorder the terms: 15 + -4(-1 + x) = 7(x + -2) 15 + (-1 * -4 + x * -4) = 7(x + -2) 15 + (4 + -4x) = 7(x + -2) Combine like terms: 15 + 4 = 19 19 + -4x = 7(x + -2) Reorder the terms: 19 + -4x = 7(-2 + x) 19 + -4x = (-2 * 7 + x * 7) 19 + -4x = (-14 + 7x) Solving 19 + -4x = -14 + 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. 19 + -4x + -7x = -14 + 7x + -7x Combine like terms: -4x + -7x = -11x 19 + -11x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -11x = -14 + 0 19 + -11x = -14 Add '-19' to each side of the equation. 19 + -19 + -11x = -14 + -19 Combine like terms: 19 + -19 = 0 0 + -11x = -14 + -19 -11x = -14 + -19 Combine like terms: -14 + -19 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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