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Simplifying 4(x + 3) + 2 = 4.5(x + -4) Reorder the terms: 4(3 + x) + 2 = 4.5(x + -4) (3 * 4 + x * 4) + 2 = 4.5(x + -4) (12 + 4x) + 2 = 4.5(x + -4) Reorder the terms: 12 + 2 + 4x = 4.5(x + -4) Combine like terms: 12 + 2 = 14 14 + 4x = 4.5(x + -4) Reorder the terms: 14 + 4x = 4.5(-4 + x) 14 + 4x = (-4 * 4.5 + x * 4.5) 14 + 4x = (-18 + 4.5x) Solving 14 + 4x = -18 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 14 + 4x + -4.5x = -18 + 4.5x + -4.5x Combine like terms: 4x + -4.5x = -0.5x 14 + -0.5x = -18 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 14 + -0.5x = -18 + 0.0 14 + -0.5x = -18 Add '-14' to each side of the equation. 14 + -14 + -0.5x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -0.5x = -18 + -14 -0.5x = -18 + -14 Combine like terms: -18 + -14 = -32 -0.5x = -32 Divide each side by '-0.5'. x = 64 Simplifying x = 64
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