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Simplifying 1.5(4x + -10) + x = 0.5(2x + 2) Reorder the terms: 1.5(-10 + 4x) + x = 0.5(2x + 2) (-10 * 1.5 + 4x * 1.5) + x = 0.5(2x + 2) (-15 + 6x) + x = 0.5(2x + 2) Combine like terms: 6x + x = 7x -15 + 7x = 0.5(2x + 2) Reorder the terms: -15 + 7x = 0.5(2 + 2x) -15 + 7x = (2 * 0.5 + 2x * 0.5) -15 + 7x = (1 + 1x) Solving -15 + 7x = 1 + 1x 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. -15 + 7x + -1x = 1 + 1x + -1x Combine like terms: 7x + -1x = 6x -15 + 6x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 6x = 1 + 0 -15 + 6x = 1 Add '15' to each side of the equation. -15 + 15 + 6x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 1 + 15 6x = 1 + 15 Combine like terms: 1 + 15 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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