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Simplifying 1.5(6x + -3) + -7x = 3 + -1(7 + -1x) Reorder the terms: 1.5(-3 + 6x) + -7x = 3 + -1(7 + -1x) (-3 * 1.5 + 6x * 1.5) + -7x = 3 + -1(7 + -1x) (-4.5 + 9x) + -7x = 3 + -1(7 + -1x) Combine like terms: 9x + -7x = 2x -4.5 + 2x = 3 + -1(7 + -1x) -4.5 + 2x = 3 + (7 * -1 + -1x * -1) -4.5 + 2x = 3 + (-7 + 1x) Combine like terms: 3 + -7 = -4 -4.5 + 2x = -4 + 1x Solving -4.5 + 2x = -4 + 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. -4.5 + 2x + -1x = -4 + 1x + -1x Combine like terms: 2x + -1x = 1x -4.5 + 1x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -4.5 + 1x = -4 + 0 -4.5 + 1x = -4 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1x = -4 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1x = -4 + 4.5 1x = -4 + 4.5 Combine like terms: -4 + 4.5 = 0.5 1x = 0.5 Divide each side by '1'. x = 0.5 Simplifying x = 0.5
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