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Simplifying 0.25(2x + -12) = 0.67(3x + 9) Reorder the terms: 0.25(-12 + 2x) = 0.67(3x + 9) (-12 * 0.25 + 2x * 0.25) = 0.67(3x + 9) (-3 + 0.5x) = 0.67(3x + 9) Reorder the terms: -3 + 0.5x = 0.67(9 + 3x) -3 + 0.5x = (9 * 0.67 + 3x * 0.67) -3 + 0.5x = (6.03 + 2.01x) Solving -3 + 0.5x = 6.03 + 2.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.01x' to each side of the equation. -3 + 0.5x + -2.01x = 6.03 + 2.01x + -2.01x Combine like terms: 0.5x + -2.01x = -1.51x -3 + -1.51x = 6.03 + 2.01x + -2.01x Combine like terms: 2.01x + -2.01x = 0.00 -3 + -1.51x = 6.03 + 0.00 -3 + -1.51x = 6.03 Add '3' to each side of the equation. -3 + 3 + -1.51x = 6.03 + 3 Combine like terms: -3 + 3 = 0 0 + -1.51x = 6.03 + 3 -1.51x = 6.03 + 3 Combine like terms: 6.03 + 3 = 9.03 -1.51x = 9.03 Divide each side by '-1.51'. x = -5.98013245 Simplifying x = -5.98013245
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