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Simplifying 0.5(2x + 8) = 0.7(10x + -9) Reorder the terms: 0.5(8 + 2x) = 0.7(10x + -9) (8 * 0.5 + 2x * 0.5) = 0.7(10x + -9) (4 + 1x) = 0.7(10x + -9) Reorder the terms: 4 + 1x = 0.7(-9 + 10x) 4 + 1x = (-9 * 0.7 + 10x * 0.7) 4 + 1x = (-6.3 + 7x) Solving 4 + 1x = -6.3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 1x + -7x = -6.3 + 7x + -7x Combine like terms: 1x + -7x = -6x 4 + -6x = -6.3 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -6x = -6.3 + 0 4 + -6x = -6.3 Add '-4' to each side of the equation. 4 + -4 + -6x = -6.3 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -6.3 + -4 -6x = -6.3 + -4 Combine like terms: -6.3 + -4 = -10.3 -6x = -10.3 Divide each side by '-6'. x = 1.716666667 Simplifying x = 1.716666667
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