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Simplifying 1.5x + 2(6) = 1.8(x + 6) Multiply 2 * 6 1.5x + 12 = 1.8(x + 6) Reorder the terms: 12 + 1.5x = 1.8(x + 6) Reorder the terms: 12 + 1.5x = 1.8(6 + x) 12 + 1.5x = (6 * 1.8 + x * 1.8) 12 + 1.5x = (10.8 + 1.8x) Solving 12 + 1.5x = 10.8 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 12 + 1.5x + -1.8x = 10.8 + 1.8x + -1.8x Combine like terms: 1.5x + -1.8x = -0.3x 12 + -0.3x = 10.8 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 12 + -0.3x = 10.8 + 0.0 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 = -1.2 -0.3x = -1.2 Divide each side by '-0.3'. x = 4 Simplifying x = 4
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