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Simplifying 2(1.5x + 3) = 3.5x + -1 Reorder the terms: 2(3 + 1.5x) = 3.5x + -1 (3 * 2 + 1.5x * 2) = 3.5x + -1 (6 + 3x) = 3.5x + -1 Reorder the terms: 6 + 3x = -1 + 3.5x Solving 6 + 3x = -1 + 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 + 3x + -3.5x = -1 + 3.5x + -3.5x Combine like terms: 3x + -3.5x = -0.5x 6 + -0.5x = -1 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 6 + -0.5x = -1 + 0.0 6 + -0.5x = -1 Add '-6' to each side of the equation. 6 + -6 + -0.5x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5x = -1 + -6 -0.5x = -1 + -6 Combine like terms: -1 + -6 = -7 -0.5x = -7 Divide each side by '-0.5'. x = 14 Simplifying x = 14
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