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Simplifying 0.25(x + 5) = 0.33(x + -7) + 1 Reorder the terms: 0.25(5 + x) = 0.33(x + -7) + 1 (5 * 0.25 + x * 0.25) = 0.33(x + -7) + 1 (1.25 + 0.25x) = 0.33(x + -7) + 1 Reorder the terms: 1.25 + 0.25x = 0.33(-7 + x) + 1 1.25 + 0.25x = (-7 * 0.33 + x * 0.33) + 1 1.25 + 0.25x = (-2.31 + 0.33x) + 1 Reorder the terms: 1.25 + 0.25x = -2.31 + 1 + 0.33x Combine like terms: -2.31 + 1 = -1.31 1.25 + 0.25x = -1.31 + 0.33x Solving 1.25 + 0.25x = -1.31 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 1.25 + 0.25x + -0.33x = -1.31 + 0.33x + -0.33x Combine like terms: 0.25x + -0.33x = -0.08x 1.25 + -0.08x = -1.31 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 1.25 + -0.08x = -1.31 + 0.00 1.25 + -0.08x = -1.31 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -0.08x = -1.31 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.08x = -1.31 + -1.25 -0.08x = -1.31 + -1.25 Combine like terms: -1.31 + -1.25 = -2.56 -0.08x = -2.56 Divide each side by '-0.08'. x = 32 Simplifying x = 32
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