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Simplifying 1.5x + 7 = 3x + -18 Reorder the terms: 7 + 1.5x = 3x + -18 Reorder the terms: 7 + 1.5x = -18 + 3x Solving 7 + 1.5x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 1.5x + -3x = -18 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x 7 + -1.5x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -1.5x = -18 + 0 7 + -1.5x = -18 Add '-7' to each side of the equation. 7 + -7 + -1.5x = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -1.5x = -18 + -7 -1.5x = -18 + -7 Combine like terms: -18 + -7 = -25 -1.5x = -25 Divide each side by '-1.5'. x = 16.66666667 Simplifying x = 16.66666667
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