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Simplifying 4 + -3(2x + 1) = 7(5x + -3) + -1(8 + x) Reorder the terms: 4 + -3(1 + 2x) = 7(5x + -3) + -1(8 + x) 4 + (1 * -3 + 2x * -3) = 7(5x + -3) + -1(8 + x) 4 + (-3 + -6x) = 7(5x + -3) + -1(8 + x) Combine like terms: 4 + -3 = 1 1 + -6x = 7(5x + -3) + -1(8 + x) Reorder the terms: 1 + -6x = 7(-3 + 5x) + -1(8 + x) 1 + -6x = (-3 * 7 + 5x * 7) + -1(8 + x) 1 + -6x = (-21 + 35x) + -1(8 + x) 1 + -6x = -21 + 35x + (8 * -1 + x * -1) 1 + -6x = -21 + 35x + (-8 + -1x) Reorder the terms: 1 + -6x = -21 + -8 + 35x + -1x Combine like terms: -21 + -8 = -29 1 + -6x = -29 + 35x + -1x Combine like terms: 35x + -1x = 34x 1 + -6x = -29 + 34x Solving 1 + -6x = -29 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 1 + -6x + -34x = -29 + 34x + -34x Combine like terms: -6x + -34x = -40x 1 + -40x = -29 + 34x + -34x Combine like terms: 34x + -34x = 0 1 + -40x = -29 + 0 1 + -40x = -29 Add '-1' to each side of the equation. 1 + -1 + -40x = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -40x = -29 + -1 -40x = -29 + -1 Combine like terms: -29 + -1 = -30 -40x = -30 Divide each side by '-40'. x = 0.75 Simplifying x = 0.75
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