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Simplifying -0.1(x + 27) + 0.3(x + 3) = x + -17 Reorder the terms: -0.1(27 + x) + 0.3(x + 3) = x + -17 (27 * -0.1 + x * -0.1) + 0.3(x + 3) = x + -17 (-2.7 + -0.1x) + 0.3(x + 3) = x + -17 Reorder the terms: -2.7 + -0.1x + 0.3(3 + x) = x + -17 -2.7 + -0.1x + (3 * 0.3 + x * 0.3) = x + -17 -2.7 + -0.1x + (0.9 + 0.3x) = x + -17 Reorder the terms: -2.7 + 0.9 + -0.1x + 0.3x = x + -17 Combine like terms: -2.7 + 0.9 = -1.8 -1.8 + -0.1x + 0.3x = x + -17 Combine like terms: -0.1x + 0.3x = 0.2x -1.8 + 0.2x = x + -17 Reorder the terms: -1.8 + 0.2x = -17 + x Solving -1.8 + 0.2x = -17 + 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. -1.8 + 0.2x + -1x = -17 + x + -1x Combine like terms: 0.2x + -1x = -0.8x -1.8 + -0.8x = -17 + x + -1x Combine like terms: x + -1x = 0 -1.8 + -0.8x = -17 + 0 -1.8 + -0.8x = -17 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.8x = -17 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.8x = -17 + 1.8 -0.8x = -17 + 1.8 Combine like terms: -17 + 1.8 = -15.2 -0.8x = -15.2 Divide each side by '-0.8'. x = 19 Simplifying x = 19
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