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Simplifying 20 + -5(3 + -4x) + 7 = 2(4x + -3) + -1(-1x + 10) 20 + (3 * -5 + -4x * -5) + 7 = 2(4x + -3) + -1(-1x + 10) 20 + (-15 + 20x) + 7 = 2(4x + -3) + -1(-1x + 10) Reorder the terms: 20 + -15 + 7 + 20x = 2(4x + -3) + -1(-1x + 10) Combine like terms: 20 + -15 = 5 5 + 7 + 20x = 2(4x + -3) + -1(-1x + 10) Combine like terms: 5 + 7 = 12 12 + 20x = 2(4x + -3) + -1(-1x + 10) Reorder the terms: 12 + 20x = 2(-3 + 4x) + -1(-1x + 10) 12 + 20x = (-3 * 2 + 4x * 2) + -1(-1x + 10) 12 + 20x = (-6 + 8x) + -1(-1x + 10) Reorder the terms: 12 + 20x = -6 + 8x + -1(10 + -1x) 12 + 20x = -6 + 8x + (10 * -1 + -1x * -1) 12 + 20x = -6 + 8x + (-10 + 1x) Reorder the terms: 12 + 20x = -6 + -10 + 8x + 1x Combine like terms: -6 + -10 = -16 12 + 20x = -16 + 8x + 1x Combine like terms: 8x + 1x = 9x 12 + 20x = -16 + 9x Solving 12 + 20x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 20x + -9x = -16 + 9x + -9x Combine like terms: 20x + -9x = 11x 12 + 11x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 11x = -16 + 0 12 + 11x = -16 Add '-12' to each side of the equation. 12 + -12 + 11x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -16 + -12 11x = -16 + -12 Combine like terms: -16 + -12 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545
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