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Simplifying -0.16(x + -18) + 0.5(x + 2) = x + 4 Reorder the terms: -0.16(-18 + x) + 0.5(x + 2) = x + 4 (-18 * -0.16 + x * -0.16) + 0.5(x + 2) = x + 4 (2.88 + -0.16x) + 0.5(x + 2) = x + 4 Reorder the terms: 2.88 + -0.16x + 0.5(2 + x) = x + 4 2.88 + -0.16x + (2 * 0.5 + x * 0.5) = x + 4 2.88 + -0.16x + (1 + 0.5x) = x + 4 Reorder the terms: 2.88 + 1 + -0.16x + 0.5x = x + 4 Combine like terms: 2.88 + 1 = 3.88 3.88 + -0.16x + 0.5x = x + 4 Combine like terms: -0.16x + 0.5x = 0.34x 3.88 + 0.34x = x + 4 Reorder the terms: 3.88 + 0.34x = 4 + x Solving 3.88 + 0.34x = 4 + 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. 3.88 + 0.34x + -1x = 4 + x + -1x Combine like terms: 0.34x + -1x = -0.66x 3.88 + -0.66x = 4 + x + -1x Combine like terms: x + -1x = 0 3.88 + -0.66x = 4 + 0 3.88 + -0.66x = 4 Add '-3.88' to each side of the equation. 3.88 + -3.88 + -0.66x = 4 + -3.88 Combine like terms: 3.88 + -3.88 = 0.00 0.00 + -0.66x = 4 + -3.88 -0.66x = 4 + -3.88 Combine like terms: 4 + -3.88 = 0.12 -0.66x = 0.12 Divide each side by '-0.66'. x = -0.1818181818 Simplifying x = -0.1818181818
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