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Simplifying 1.50x + 2.00(6) = 1.80(x + -6) Multiply 2.00 * 6 1.50x + 12 = 1.80(x + -6) Reorder the terms: 12 + 1.50x = 1.80(x + -6) Reorder the terms: 12 + 1.50x = 1.80(-6 + x) 12 + 1.50x = (-6 * 1.80 + x * 1.80) 12 + 1.50x = (-10.8 + 1.80x) Solving 12 + 1.50x = -10.8 + 1.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.80x' to each side of the equation. 12 + 1.50x + -1.80x = -10.8 + 1.80x + -1.80x Combine like terms: 1.50x + -1.80x = -0.3x 12 + -0.3x = -10.8 + 1.80x + -1.80x Combine like terms: 1.80x + -1.80x = 0.00 12 + -0.3x = -10.8 + 0.00 12 + -0.3x = -10.8 Add '-12' to each side of the equation. 12 + -12 + -0.3x = -10.8 + -12 Combine like terms: 12 + -12 = 0 0 + -0.3x = -10.8 + -12 -0.3x = -10.8 + -12 Combine like terms: -10.8 + -12 = -22.8 -0.3x = -22.8 Divide each side by '-0.3'. x = 76 Simplifying x = 76
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