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Simplifying 4 + -5(2x + -1) = -3(x + 4) Reorder the terms: 4 + -5(-1 + 2x) = -3(x + 4) 4 + (-1 * -5 + 2x * -5) = -3(x + 4) 4 + (5 + -10x) = -3(x + 4) Combine like terms: 4 + 5 = 9 9 + -10x = -3(x + 4) Reorder the terms: 9 + -10x = -3(4 + x) 9 + -10x = (4 * -3 + x * -3) 9 + -10x = (-12 + -3x) Solving 9 + -10x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -10x + 3x = -12 + -3x + 3x Combine like terms: -10x + 3x = -7x 9 + -7x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -7x = -12 + 0 9 + -7x = -12 Add '-9' to each side of the equation. 9 + -9 + -7x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -12 + -9 -7x = -12 + -9 Combine like terms: -12 + -9 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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