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Simplifying (2 + 4)(3 + 4x) = 10 + -1.5(x + 1) Combine like terms: 2 + 4 = 6 (6)(3 + 4x) = 10 + -1.5(x + 1) (3 * 6 + 4x * 6) = 10 + -1.5(x + 1) (18 + 24x) = 10 + -1.5(x + 1) Reorder the terms: 18 + 24x = 10 + -1.5(1 + x) 18 + 24x = 10 + (1 * -1.5 + x * -1.5) 18 + 24x = 10 + (-1.5 + -1.5x) Combine like terms: 10 + -1.5 = 8.5 18 + 24x = 8.5 + -1.5x Solving 18 + 24x = 8.5 + -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 + 24x + 1.5x = 8.5 + -1.5x + 1.5x Combine like terms: 24x + 1.5x = 25.5x 18 + 25.5x = 8.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 18 + 25.5x = 8.5 + 0.0 18 + 25.5x = 8.5 Add '-18' to each side of the equation. 18 + -18 + 25.5x = 8.5 + -18 Combine like terms: 18 + -18 = 0 0 + 25.5x = 8.5 + -18 25.5x = 8.5 + -18 Combine like terms: 8.5 + -18 = -9.5 25.5x = -9.5 Divide each side by '25.5'. x = -0.3725490196 Simplifying x = -0.3725490196
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