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Simplifying x + -7(1.34 + 0.32x) = 0.01x x + (1.34 * -7 + 0.32x * -7) = 0.01x x + (-9.38 + -2.24x) = 0.01x Reorder the terms: -9.38 + x + -2.24x = 0.01x Combine like terms: x + -2.24x = -1.24x -9.38 + -1.24x = 0.01x Solving -9.38 + -1.24x = 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. -9.38 + -1.24x + -0.01x = 0.01x + -0.01x Combine like terms: -1.24x + -0.01x = -1.25x -9.38 + -1.25x = 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 -9.38 + -1.25x = 0.00 Add '9.38' to each side of the equation. -9.38 + 9.38 + -1.25x = 0.00 + 9.38 Combine like terms: -9.38 + 9.38 = 0.00 0.00 + -1.25x = 0.00 + 9.38 -1.25x = 0.00 + 9.38 Combine like terms: 0.00 + 9.38 = 9.38 -1.25x = 9.38 Divide each side by '-1.25'. x = -7.504 Simplifying x = -7.504
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