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Simplifying 4.5(x + -4) = 1.5(x + 4) Reorder the terms: 4.5(-4 + x) = 1.5(x + 4) (-4 * 4.5 + x * 4.5) = 1.5(x + 4) (-18 + 4.5x) = 1.5(x + 4) Reorder the terms: -18 + 4.5x = 1.5(4 + x) -18 + 4.5x = (4 * 1.5 + x * 1.5) -18 + 4.5x = (6 + 1.5x) Solving -18 + 4.5x = 6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -18 + 4.5x + -1.5x = 6 + 1.5x + -1.5x Combine like terms: 4.5x + -1.5x = 3x -18 + 3x = 6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -18 + 3x = 6 + 0.0 -18 + 3x = 6 Add '18' to each side of the equation. -18 + 18 + 3x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 6 + 18 3x = 6 + 18 Combine like terms: 6 + 18 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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