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Simplifying -0.1111(x + -27) + 0.333(x + 3) = x + -59 Reorder the terms: -0.1111(-27 + x) + 0.333(x + 3) = x + -59 (-27 * -0.1111 + x * -0.1111) + 0.333(x + 3) = x + -59 (2.9997 + -0.1111x) + 0.333(x + 3) = x + -59 Reorder the terms: 2.9997 + -0.1111x + 0.333(3 + x) = x + -59 2.9997 + -0.1111x + (3 * 0.333 + x * 0.333) = x + -59 2.9997 + -0.1111x + (0.999 + 0.333x) = x + -59 Reorder the terms: 2.9997 + 0.999 + -0.1111x + 0.333x = x + -59 Combine like terms: 2.9997 + 0.999 = 3.9987 3.9987 + -0.1111x + 0.333x = x + -59 Combine like terms: -0.1111x + 0.333x = 0.2219x 3.9987 + 0.2219x = x + -59 Reorder the terms: 3.9987 + 0.2219x = -59 + x Solving 3.9987 + 0.2219x = -59 + 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. 3.9987 + 0.2219x + -1x = -59 + x + -1x Combine like terms: 0.2219x + -1x = -0.7781x 3.9987 + -0.7781x = -59 + x + -1x Combine like terms: x + -1x = 0 3.9987 + -0.7781x = -59 + 0 3.9987 + -0.7781x = -59 Add '-3.9987' to each side of the equation. 3.9987 + -3.9987 + -0.7781x = -59 + -3.9987 Combine like terms: 3.9987 + -3.9987 = 0.0000 0.0000 + -0.7781x = -59 + -3.9987 -0.7781x = -59 + -3.9987 Combine like terms: -59 + -3.9987 = -62.9987 -0.7781x = -62.9987 Divide each side by '-0.7781'. x = 80.96478602 Simplifying x = 80.96478602
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