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Simplifying -0.16(x + -12) + 0.3(x + 3) = x + 3 Reorder the terms: -0.16(-12 + x) + 0.3(x + 3) = x + 3 (-12 * -0.16 + x * -0.16) + 0.3(x + 3) = x + 3 (1.92 + -0.16x) + 0.3(x + 3) = x + 3 Reorder the terms: 1.92 + -0.16x + 0.3(3 + x) = x + 3 1.92 + -0.16x + (3 * 0.3 + x * 0.3) = x + 3 1.92 + -0.16x + (0.9 + 0.3x) = x + 3 Reorder the terms: 1.92 + 0.9 + -0.16x + 0.3x = x + 3 Combine like terms: 1.92 + 0.9 = 2.82 2.82 + -0.16x + 0.3x = x + 3 Combine like terms: -0.16x + 0.3x = 0.14x 2.82 + 0.14x = x + 3 Reorder the terms: 2.82 + 0.14x = 3 + x Solving 2.82 + 0.14x = 3 + 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. 2.82 + 0.14x + -1x = 3 + x + -1x Combine like terms: 0.14x + -1x = -0.86x 2.82 + -0.86x = 3 + x + -1x Combine like terms: x + -1x = 0 2.82 + -0.86x = 3 + 0 2.82 + -0.86x = 3 Add '-2.82' to each side of the equation. 2.82 + -2.82 + -0.86x = 3 + -2.82 Combine like terms: 2.82 + -2.82 = 0.00 0.00 + -0.86x = 3 + -2.82 -0.86x = 3 + -2.82 Combine like terms: 3 + -2.82 = 0.18 -0.86x = 0.18 Divide each side by '-0.86'. x = -0.2093023256 Simplifying x = -0.2093023256
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