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Simplifying 1.5x + -1.7(x + 4.8) = -1(3.6 + -1x) Reorder the terms: 1.5x + -1.7(4.8 + x) = -1(3.6 + -1x) 1.5x + (4.8 * -1.7 + x * -1.7) = -1(3.6 + -1x) 1.5x + (-8.16 + -1.7x) = -1(3.6 + -1x) Reorder the terms: -8.16 + 1.5x + -1.7x = -1(3.6 + -1x) Combine like terms: 1.5x + -1.7x = -0.2x -8.16 + -0.2x = -1(3.6 + -1x) -8.16 + -0.2x = (3.6 * -1 + -1x * -1) -8.16 + -0.2x = (-3.6 + 1x) Solving -8.16 + -0.2x = -3.6 + 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. -8.16 + -0.2x + -1x = -3.6 + 1x + -1x Combine like terms: -0.2x + -1x = -1.2x -8.16 + -1.2x = -3.6 + 1x + -1x Combine like terms: 1x + -1x = 0 -8.16 + -1.2x = -3.6 + 0 -8.16 + -1.2x = -3.6 Add '8.16' to each side of the equation. -8.16 + 8.16 + -1.2x = -3.6 + 8.16 Combine like terms: -8.16 + 8.16 = 0.00 0.00 + -1.2x = -3.6 + 8.16 -1.2x = -3.6 + 8.16 Combine like terms: -3.6 + 8.16 = 4.56 -1.2x = 4.56 Divide each side by '-1.2'. x = -3.8 Simplifying x = -3.8
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