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Simplifying -4(2x + -3) = 5(3x + -1) + 7 Reorder the terms: -4(-3 + 2x) = 5(3x + -1) + 7 (-3 * -4 + 2x * -4) = 5(3x + -1) + 7 (12 + -8x) = 5(3x + -1) + 7 Reorder the terms: 12 + -8x = 5(-1 + 3x) + 7 12 + -8x = (-1 * 5 + 3x * 5) + 7 12 + -8x = (-5 + 15x) + 7 Reorder the terms: 12 + -8x = -5 + 7 + 15x Combine like terms: -5 + 7 = 2 12 + -8x = 2 + 15x Solving 12 + -8x = 2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + -8x + -15x = 2 + 15x + -15x Combine like terms: -8x + -15x = -23x 12 + -23x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -23x = 2 + 0 12 + -23x = 2 Add '-12' to each side of the equation. 12 + -12 + -23x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -23x = 2 + -12 -23x = 2 + -12 Combine like terms: 2 + -12 = -10 -23x = -10 Divide each side by '-23'. x = 0.4347826087 Simplifying x = 0.4347826087
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