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Simplifying 0.7(5x + 15) = 2.7 + -1(x + 3) Reorder the terms: 0.7(15 + 5x) = 2.7 + -1(x + 3) (15 * 0.7 + 5x * 0.7) = 2.7 + -1(x + 3) (10.5 + 3.5x) = 2.7 + -1(x + 3) Reorder the terms: 10.5 + 3.5x = 2.7 + -1(3 + x) 10.5 + 3.5x = 2.7 + (3 * -1 + x * -1) 10.5 + 3.5x = 2.7 + (-3 + -1x) Combine like terms: 2.7 + -3 = -0.3 10.5 + 3.5x = -0.3 + -1x Solving 10.5 + 3.5x = -0.3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10.5 + 3.5x + x = -0.3 + -1x + x Combine like terms: 3.5x + x = 4.5x 10.5 + 4.5x = -0.3 + -1x + x Combine like terms: -1x + x = 0 10.5 + 4.5x = -0.3 + 0 10.5 + 4.5x = -0.3 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 4.5x = -0.3 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 4.5x = -0.3 + -10.5 4.5x = -0.3 + -10.5 Combine like terms: -0.3 + -10.5 = -10.8 4.5x = -10.8 Divide each side by '4.5'. x = -2.4 Simplifying x = -2.4
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