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Simplifying 0.5 = 1x + -2(1.3x + -4) Reorder the terms: 0.5 = 1x + -2(-4 + 1.3x) 0.5 = 1x + (-4 * -2 + 1.3x * -2) 0.5 = 1x + (8 + -2.6x) Reorder the terms: 0.5 = 8 + 1x + -2.6x Combine like terms: 1x + -2.6x = -1.6x 0.5 = 8 + -1.6x Solving 0.5 = 8 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. 0.5 + 1.6x = 8 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 0.5 + 1.6x = 8 + 0.0 0.5 + 1.6x = 8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.6x = 8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.6x = 8 + -0.5 1.6x = 8 + -0.5 Combine like terms: 8 + -0.5 = 7.5 1.6x = 7.5 Divide each side by '1.6'. x = 4.6875 Simplifying x = 4.6875
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