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Simplifying x + -4(3x + -7) = 3(9 + -5x) + -1(x + -11) Reorder the terms: x + -4(-7 + 3x) = 3(9 + -5x) + -1(x + -11) x + (-7 * -4 + 3x * -4) = 3(9 + -5x) + -1(x + -11) x + (28 + -12x) = 3(9 + -5x) + -1(x + -11) Reorder the terms: 28 + x + -12x = 3(9 + -5x) + -1(x + -11) Combine like terms: x + -12x = -11x 28 + -11x = 3(9 + -5x) + -1(x + -11) 28 + -11x = (9 * 3 + -5x * 3) + -1(x + -11) 28 + -11x = (27 + -15x) + -1(x + -11) Reorder the terms: 28 + -11x = 27 + -15x + -1(-11 + x) 28 + -11x = 27 + -15x + (-11 * -1 + x * -1) 28 + -11x = 27 + -15x + (11 + -1x) Reorder the terms: 28 + -11x = 27 + 11 + -15x + -1x Combine like terms: 27 + 11 = 38 28 + -11x = 38 + -15x + -1x Combine like terms: -15x + -1x = -16x 28 + -11x = 38 + -16x Solving 28 + -11x = 38 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 28 + -11x + 16x = 38 + -16x + 16x Combine like terms: -11x + 16x = 5x 28 + 5x = 38 + -16x + 16x Combine like terms: -16x + 16x = 0 28 + 5x = 38 + 0 28 + 5x = 38 Add '-28' to each side of the equation. 28 + -28 + 5x = 38 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 38 + -28 5x = 38 + -28 Combine like terms: 38 + -28 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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