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Simplifying 2.7(x + 3) + -1.5x = 2.4 + 0.3(3x + -0.6) Reorder the terms: 2.7(3 + x) + -1.5x = 2.4 + 0.3(3x + -0.6) (3 * 2.7 + x * 2.7) + -1.5x = 2.4 + 0.3(3x + -0.6) (8.1 + 2.7x) + -1.5x = 2.4 + 0.3(3x + -0.6) Combine like terms: 2.7x + -1.5x = 1.2x 8.1 + 1.2x = 2.4 + 0.3(3x + -0.6) Reorder the terms: 8.1 + 1.2x = 2.4 + 0.3(-0.6 + 3x) 8.1 + 1.2x = 2.4 + (-0.6 * 0.3 + 3x * 0.3) 8.1 + 1.2x = 2.4 + (-0.18 + 0.9x) Combine like terms: 2.4 + -0.18 = 2.22 8.1 + 1.2x = 2.22 + 0.9x Solving 8.1 + 1.2x = 2.22 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 8.1 + 1.2x + -0.9x = 2.22 + 0.9x + -0.9x Combine like terms: 1.2x + -0.9x = 0.3x 8.1 + 0.3x = 2.22 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 8.1 + 0.3x = 2.22 + 0.0 8.1 + 0.3x = 2.22 Add '-8.1' to each side of the equation. 8.1 + -8.1 + 0.3x = 2.22 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + 0.3x = 2.22 + -8.1 0.3x = 2.22 + -8.1 Combine like terms: 2.22 + -8.1 = -5.88 0.3x = -5.88 Divide each side by '0.3'. x = -19.6 Simplifying x = -19.6
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