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