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Simplifying -1x + 40 = -4(2x + -3) Reorder the terms: 40 + -1x = -4(2x + -3) Reorder the terms: 40 + -1x = -4(-3 + 2x) 40 + -1x = (-3 * -4 + 2x * -4) 40 + -1x = (12 + -8x) Solving 40 + -1x = 12 + -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. 40 + -1x + 8x = 12 + -8x + 8x Combine like terms: -1x + 8x = 7x 40 + 7x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + 7x = 12 + 0 40 + 7x = 12 Add '-40' to each side of the equation. 40 + -40 + 7x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 12 + -40 7x = 12 + -40 Combine like terms: 12 + -40 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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