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Simplifying 4x + -2(3x + -1) = 5(2x + 3) Reorder the terms: 4x + -2(-1 + 3x) = 5(2x + 3) 4x + (-1 * -2 + 3x * -2) = 5(2x + 3) 4x + (2 + -6x) = 5(2x + 3) Reorder the terms: 2 + 4x + -6x = 5(2x + 3) Combine like terms: 4x + -6x = -2x 2 + -2x = 5(2x + 3) Reorder the terms: 2 + -2x = 5(3 + 2x) 2 + -2x = (3 * 5 + 2x * 5) 2 + -2x = (15 + 10x) Solving 2 + -2x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -2x + -10x = 15 + 10x + -10x Combine like terms: -2x + -10x = -12x 2 + -12x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -12x = 15 + 0 2 + -12x = 15 Add '-2' to each side of the equation. 2 + -2 + -12x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 15 + -2 -12x = 15 + -2 Combine like terms: 15 + -2 = 13 -12x = 13 Divide each side by '-12'. x = -1.083333333 Simplifying x = -1.083333333
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