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Simplifying 0.16(x + -12) + 0.5(x + 2) = x + 11 Reorder the terms: 0.16(-12 + x) + 0.5(x + 2) = x + 11 (-12 * 0.16 + x * 0.16) + 0.5(x + 2) = x + 11 (-1.92 + 0.16x) + 0.5(x + 2) = x + 11 Reorder the terms: -1.92 + 0.16x + 0.5(2 + x) = x + 11 -1.92 + 0.16x + (2 * 0.5 + x * 0.5) = x + 11 -1.92 + 0.16x + (1 + 0.5x) = x + 11 Reorder the terms: -1.92 + 1 + 0.16x + 0.5x = x + 11 Combine like terms: -1.92 + 1 = -0.92 -0.92 + 0.16x + 0.5x = x + 11 Combine like terms: 0.16x + 0.5x = 0.66x -0.92 + 0.66x = x + 11 Reorder the terms: -0.92 + 0.66x = 11 + x Solving -0.92 + 0.66x = 11 + 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. -0.92 + 0.66x + -1x = 11 + x + -1x Combine like terms: 0.66x + -1x = -0.34x -0.92 + -0.34x = 11 + x + -1x Combine like terms: x + -1x = 0 -0.92 + -0.34x = 11 + 0 -0.92 + -0.34x = 11 Add '0.92' to each side of the equation. -0.92 + 0.92 + -0.34x = 11 + 0.92 Combine like terms: -0.92 + 0.92 = 0.00 0.00 + -0.34x = 11 + 0.92 -0.34x = 11 + 0.92 Combine like terms: 11 + 0.92 = 11.92 -0.34x = 11.92 Divide each side by '-0.34'. x = -35.05882353 Simplifying x = -35.05882353
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