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Simplifying -1.6(x + -18) + 0.5(x + 3) = x + -8 Reorder the terms: -1.6(-18 + x) + 0.5(x + 3) = x + -8 (-18 * -1.6 + x * -1.6) + 0.5(x + 3) = x + -8 (28.8 + -1.6x) + 0.5(x + 3) = x + -8 Reorder the terms: 28.8 + -1.6x + 0.5(3 + x) = x + -8 28.8 + -1.6x + (3 * 0.5 + x * 0.5) = x + -8 28.8 + -1.6x + (1.5 + 0.5x) = x + -8 Reorder the terms: 28.8 + 1.5 + -1.6x + 0.5x = x + -8 Combine like terms: 28.8 + 1.5 = 30.3 30.3 + -1.6x + 0.5x = x + -8 Combine like terms: -1.6x + 0.5x = -1.1x 30.3 + -1.1x = x + -8 Reorder the terms: 30.3 + -1.1x = -8 + x Solving 30.3 + -1.1x = -8 + x 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. 30.3 + -1.1x + -1x = -8 + x + -1x Combine like terms: -1.1x + -1x = -2.1x 30.3 + -2.1x = -8 + x + -1x Combine like terms: x + -1x = 0 30.3 + -2.1x = -8 + 0 30.3 + -2.1x = -8 Add '-30.3' to each side of the equation. 30.3 + -30.3 + -2.1x = -8 + -30.3 Combine like terms: 30.3 + -30.3 = 0.0 0.0 + -2.1x = -8 + -30.3 -2.1x = -8 + -30.3 Combine like terms: -8 + -30.3 = -38.3 -2.1x = -38.3 Divide each side by '-2.1'. x = 18.23809524 Simplifying x = 18.23809524
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