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Simplifying 3 + -1(2x + 4) = 2(x + -4.5) Reorder the terms: 3 + -1(4 + 2x) = 2(x + -4.5) 3 + (4 * -1 + 2x * -1) = 2(x + -4.5) 3 + (-4 + -2x) = 2(x + -4.5) Combine like terms: 3 + -4 = -1 -1 + -2x = 2(x + -4.5) Reorder the terms: -1 + -2x = 2(-4.5 + x) -1 + -2x = (-4.5 * 2 + x * 2) -1 + -2x = (-9 + 2x) Solving -1 + -2x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -2x + -2x = -9 + 2x + -2x Combine like terms: -2x + -2x = -4x -1 + -4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -4x = -9 + 0 -1 + -4x = -9 Add '1' to each side of the equation. -1 + 1 + -4x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -9 + 1 -4x = -9 + 1 Combine like terms: -9 + 1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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