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Simplifying 2x + 9 + -1(3x + -0.4) = 5x + -7 + -1(x + 0.25) Reorder the terms: 2x + 9 + -1(-0.4 + 3x) = 5x + -7 + -1(x + 0.25) 2x + 9 + (-0.4 * -1 + 3x * -1) = 5x + -7 + -1(x + 0.25) 2x + 9 + (0.4 + -3x) = 5x + -7 + -1(x + 0.25) Reorder the terms: 9 + 0.4 + 2x + -3x = 5x + -7 + -1(x + 0.25) Combine like terms: 9 + 0.4 = 9.4 9.4 + 2x + -3x = 5x + -7 + -1(x + 0.25) Combine like terms: 2x + -3x = -1x 9.4 + -1x = 5x + -7 + -1(x + 0.25) Reorder the terms: 9.4 + -1x = 5x + -7 + -1(0.25 + x) 9.4 + -1x = 5x + -7 + (0.25 * -1 + x * -1) 9.4 + -1x = 5x + -7 + (-0.25 + -1x) Reorder the terms: 9.4 + -1x = -7 + -0.25 + 5x + -1x Combine like terms: -7 + -0.25 = -7.25 9.4 + -1x = -7.25 + 5x + -1x Combine like terms: 5x + -1x = 4x 9.4 + -1x = -7.25 + 4x Solving 9.4 + -1x = -7.25 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9.4 + -1x + -4x = -7.25 + 4x + -4x Combine like terms: -1x + -4x = -5x 9.4 + -5x = -7.25 + 4x + -4x Combine like terms: 4x + -4x = 0 9.4 + -5x = -7.25 + 0 9.4 + -5x = -7.25 Add '-9.4' to each side of the equation. 9.4 + -9.4 + -5x = -7.25 + -9.4 Combine like terms: 9.4 + -9.4 = 0.0 0.0 + -5x = -7.25 + -9.4 -5x = -7.25 + -9.4 Combine like terms: -7.25 + -9.4 = -16.65 -5x = -16.65 Divide each side by '-5'. x = 3.33 Simplifying x = 3.33
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