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Simplifying -0.16(x + -12) + 0.5(x + 2) = x + -9 Reorder the terms: -0.16(-12 + x) + 0.5(x + 2) = x + -9 (-12 * -0.16 + x * -0.16) + 0.5(x + 2) = x + -9 (1.92 + -0.16x) + 0.5(x + 2) = x + -9 Reorder the terms: 1.92 + -0.16x + 0.5(2 + x) = x + -9 1.92 + -0.16x + (2 * 0.5 + x * 0.5) = x + -9 1.92 + -0.16x + (1 + 0.5x) = x + -9 Reorder the terms: 1.92 + 1 + -0.16x + 0.5x = x + -9 Combine like terms: 1.92 + 1 = 2.92 2.92 + -0.16x + 0.5x = x + -9 Combine like terms: -0.16x + 0.5x = 0.34x 2.92 + 0.34x = x + -9 Reorder the terms: 2.92 + 0.34x = -9 + x Solving 2.92 + 0.34x = -9 + 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. 2.92 + 0.34x + -1x = -9 + x + -1x Combine like terms: 0.34x + -1x = -0.66x 2.92 + -0.66x = -9 + x + -1x Combine like terms: x + -1x = 0 2.92 + -0.66x = -9 + 0 2.92 + -0.66x = -9 Add '-2.92' to each side of the equation. 2.92 + -2.92 + -0.66x = -9 + -2.92 Combine like terms: 2.92 + -2.92 = 0.00 0.00 + -0.66x = -9 + -2.92 -0.66x = -9 + -2.92 Combine like terms: -9 + -2.92 = -11.92 -0.66x = -11.92 Divide each side by '-0.66'. x = 18.06060606 Simplifying x = 18.06060606
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