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Simplifying 3.5x + 4 + -1(3x + -4) = 0.35(x + -3) + 7.55 Reorder the terms: 3.5x + 4 + -1(-4 + 3x) = 0.35(x + -3) + 7.55 3.5x + 4 + (-4 * -1 + 3x * -1) = 0.35(x + -3) + 7.55 3.5x + 4 + (4 + -3x) = 0.35(x + -3) + 7.55 Reorder the terms: 4 + 4 + 3.5x + -3x = 0.35(x + -3) + 7.55 Combine like terms: 4 + 4 = 8 8 + 3.5x + -3x = 0.35(x + -3) + 7.55 Combine like terms: 3.5x + -3x = 0.5x 8 + 0.5x = 0.35(x + -3) + 7.55 Reorder the terms: 8 + 0.5x = 0.35(-3 + x) + 7.55 8 + 0.5x = (-3 * 0.35 + x * 0.35) + 7.55 8 + 0.5x = (-1.05 + 0.35x) + 7.55 Reorder the terms: 8 + 0.5x = -1.05 + 7.55 + 0.35x Combine like terms: -1.05 + 7.55 = 6.5 8 + 0.5x = 6.5 + 0.35x Solving 8 + 0.5x = 6.5 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 8 + 0.5x + -0.35x = 6.5 + 0.35x + -0.35x Combine like terms: 0.5x + -0.35x = 0.15x 8 + 0.15x = 6.5 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 8 + 0.15x = 6.5 + 0.00 8 + 0.15x = 6.5 Add '-8' to each side of the equation. 8 + -8 + 0.15x = 6.5 + -8 Combine like terms: 8 + -8 = 0 0 + 0.15x = 6.5 + -8 0.15x = 6.5 + -8 Combine like terms: 6.5 + -8 = -1.5 0.15x = -1.5 Divide each side by '0.15'. x = -10 Simplifying x = -10
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