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Simplifying 3x + 4.5(4) = 3.5(x + 4) Multiply 4.5 * 4 3x + 18 = 3.5(x + 4) Reorder the terms: 18 + 3x = 3.5(x + 4) Reorder the terms: 18 + 3x = 3.5(4 + x) 18 + 3x = (4 * 3.5 + x * 3.5) 18 + 3x = (14 + 3.5x) Solving 18 + 3x = 14 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 18 + 3x + -3.5x = 14 + 3.5x + -3.5x Combine like terms: 3x + -3.5x = -0.5x 18 + -0.5x = 14 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 18 + -0.5x = 14 + 0.0 18 + -0.5x = 14 Add '-18' to each side of the equation. 18 + -18 + -0.5x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -0.5x = 14 + -18 -0.5x = 14 + -18 Combine like terms: 14 + -18 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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