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Simplifying 3(x + -0.05) = 5(x + 3.5) + 4x + -1 Reorder the terms: 3(-0.05 + x) = 5(x + 3.5) + 4x + -1 (-0.05 * 3 + x * 3) = 5(x + 3.5) + 4x + -1 (-0.15 + 3x) = 5(x + 3.5) + 4x + -1 Reorder the terms: -0.15 + 3x = 5(3.5 + x) + 4x + -1 -0.15 + 3x = (3.5 * 5 + x * 5) + 4x + -1 -0.15 + 3x = (17.5 + 5x) + 4x + -1 Reorder the terms: -0.15 + 3x = 17.5 + -1 + 5x + 4x Combine like terms: 17.5 + -1 = 16.5 -0.15 + 3x = 16.5 + 5x + 4x Combine like terms: 5x + 4x = 9x -0.15 + 3x = 16.5 + 9x Solving -0.15 + 3x = 16.5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -0.15 + 3x + -9x = 16.5 + 9x + -9x Combine like terms: 3x + -9x = -6x -0.15 + -6x = 16.5 + 9x + -9x Combine like terms: 9x + -9x = 0 -0.15 + -6x = 16.5 + 0 -0.15 + -6x = 16.5 Add '0.15' to each side of the equation. -0.15 + 0.15 + -6x = 16.5 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + -6x = 16.5 + 0.15 -6x = 16.5 + 0.15 Combine like terms: 16.5 + 0.15 = 16.65 -6x = 16.65 Divide each side by '-6'. x = -2.775 Simplifying x = -2.775
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