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Simplifying -0.16(x + -18) + 0.13(x + 3) = x + -1 Reorder the terms: -0.16(-18 + x) + 0.13(x + 3) = x + -1 (-18 * -0.16 + x * -0.16) + 0.13(x + 3) = x + -1 (2.88 + -0.16x) + 0.13(x + 3) = x + -1 Reorder the terms: 2.88 + -0.16x + 0.13(3 + x) = x + -1 2.88 + -0.16x + (3 * 0.13 + x * 0.13) = x + -1 2.88 + -0.16x + (0.39 + 0.13x) = x + -1 Reorder the terms: 2.88 + 0.39 + -0.16x + 0.13x = x + -1 Combine like terms: 2.88 + 0.39 = 3.27 3.27 + -0.16x + 0.13x = x + -1 Combine like terms: -0.16x + 0.13x = -0.03x 3.27 + -0.03x = x + -1 Reorder the terms: 3.27 + -0.03x = -1 + x Solving 3.27 + -0.03x = -1 + 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. 3.27 + -0.03x + -1x = -1 + x + -1x Combine like terms: -0.03x + -1x = -1.03x 3.27 + -1.03x = -1 + x + -1x Combine like terms: x + -1x = 0 3.27 + -1.03x = -1 + 0 3.27 + -1.03x = -1 Add '-3.27' to each side of the equation. 3.27 + -3.27 + -1.03x = -1 + -3.27 Combine like terms: 3.27 + -3.27 = 0.00 0.00 + -1.03x = -1 + -3.27 -1.03x = -1 + -3.27 Combine like terms: -1 + -3.27 = -4.27 -1.03x = -4.27 Divide each side by '-1.03'. x = 4.145631068 Simplifying x = 4.145631068
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