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Simplifying 3 = -1(x + -4) + 4(2x + -9) Reorder the terms: 3 = -1(-4 + x) + 4(2x + -9) 3 = (-4 * -1 + x * -1) + 4(2x + -9) 3 = (4 + -1x) + 4(2x + -9) Reorder the terms: 3 = 4 + -1x + 4(-9 + 2x) 3 = 4 + -1x + (-9 * 4 + 2x * 4) 3 = 4 + -1x + (-36 + 8x) Reorder the terms: 3 = 4 + -36 + -1x + 8x Combine like terms: 4 + -36 = -32 3 = -32 + -1x + 8x Combine like terms: -1x + 8x = 7x 3 = -32 + 7x Solving 3 = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + -7x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -7x = -32 + 0 3 + -7x = -32 Add '-3' to each side of the equation. 3 + -3 + -7x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -32 + -3 -7x = -32 + -3 Combine like terms: -32 + -3 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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