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Simplifying 1.5(2x + 1) = x + -7 Reorder the terms: 1.5(1 + 2x) = x + -7 (1 * 1.5 + 2x * 1.5) = x + -7 (1.5 + 3x) = x + -7 Reorder the terms: 1.5 + 3x = -7 + x Solving 1.5 + 3x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.5 + 3x + -1x = -7 + x + -1x Combine like terms: 3x + -1x = 2x 1.5 + 2x = -7 + x + -1x Combine like terms: x + -1x = 0 1.5 + 2x = -7 + 0 1.5 + 2x = -7 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2x = -7 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2x = -7 + -1.5 2x = -7 + -1.5 Combine like terms: -7 + -1.5 = -8.5 2x = -8.5 Divide each side by '2'. x = -4.25 Simplifying x = -4.25
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