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Simplifying 1.5(x + 4) + 3 = 2x(3.5 + 0.75) Reorder the terms: 1.5(4 + x) + 3 = 2x(3.5 + 0.75) (4 * 1.5 + x * 1.5) + 3 = 2x(3.5 + 0.75) (6 + 1.5x) + 3 = 2x(3.5 + 0.75) Reorder the terms: 6 + 3 + 1.5x = 2x(3.5 + 0.75) Combine like terms: 6 + 3 = 9 9 + 1.5x = 2x(3.5 + 0.75) Combine like terms: 3.5 + 0.75 = 4.25 9 + 1.5x = 2x(4.25) Reorder the terms for easier multiplication: 9 + 1.5x = 2 * 4.25x Multiply 2 * 4.25 9 + 1.5x = 8.5x Solving 9 + 1.5x = 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. 9 + 1.5x + -8.5x = 8.5x + -8.5x Combine like terms: 1.5x + -8.5x = -7x 9 + -7x = 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 9 + -7x = 0.0 Add '-9' to each side of the equation. 9 + -9 + -7x = 0.0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0.0 + -9 -7x = 0.0 + -9 Combine like terms: 0.0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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