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Simplifying 0.33(3x + -6) + 7x = 5(2x + -6) + -1x Reorder the terms: 0.33(-6 + 3x) + 7x = 5(2x + -6) + -1x (-6 * 0.33 + 3x * 0.33) + 7x = 5(2x + -6) + -1x (-1.98 + 0.99x) + 7x = 5(2x + -6) + -1x Combine like terms: 0.99x + 7x = 7.99x -1.98 + 7.99x = 5(2x + -6) + -1x Reorder the terms: -1.98 + 7.99x = 5(-6 + 2x) + -1x -1.98 + 7.99x = (-6 * 5 + 2x * 5) + -1x -1.98 + 7.99x = (-30 + 10x) + -1x Combine like terms: 10x + -1x = 9x -1.98 + 7.99x = -30 + 9x Solving -1.98 + 7.99x = -30 + 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. -1.98 + 7.99x + -9x = -30 + 9x + -9x Combine like terms: 7.99x + -9x = -1.01x -1.98 + -1.01x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -1.98 + -1.01x = -30 + 0 -1.98 + -1.01x = -30 Add '1.98' to each side of the equation. -1.98 + 1.98 + -1.01x = -30 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -1.01x = -30 + 1.98 -1.01x = -30 + 1.98 Combine like terms: -30 + 1.98 = -28.02 -1.01x = -28.02 Divide each side by '-1.01'. x = 27.74257426 Simplifying x = 27.74257426
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