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Simplifying 3 + 1.5(x + 2) = 3.5x + -2 Reorder the terms: 3 + 1.5(2 + x) = 3.5x + -2 3 + (2 * 1.5 + x * 1.5) = 3.5x + -2 3 + (3 + 1.5x) = 3.5x + -2 Combine like terms: 3 + 3 = 6 6 + 1.5x = 3.5x + -2 Reorder the terms: 6 + 1.5x = -2 + 3.5x Solving 6 + 1.5x = -2 + 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. 6 + 1.5x + -3.5x = -2 + 3.5x + -3.5x Combine like terms: 1.5x + -3.5x = -2x 6 + -2x = -2 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 6 + -2x = -2 + 0.0 6 + -2x = -2 Add '-6' to each side of the equation. 6 + -6 + -2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -2 + -6 -2x = -2 + -6 Combine like terms: -2 + -6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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