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Simplifying 0.6(5x + 15) = 2.9 + -1(x + 3) Reorder the terms: 0.6(15 + 5x) = 2.9 + -1(x + 3) (15 * 0.6 + 5x * 0.6) = 2.9 + -1(x + 3) (9 + 3x) = 2.9 + -1(x + 3) Reorder the terms: 9 + 3x = 2.9 + -1(3 + x) 9 + 3x = 2.9 + (3 * -1 + x * -1) 9 + 3x = 2.9 + (-3 + -1x) Combine like terms: 2.9 + -3 = -0.1 9 + 3x = -0.1 + -1x Solving 9 + 3x = -0.1 + -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. 9 + 3x + x = -0.1 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = -0.1 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = -0.1 + 0 9 + 4x = -0.1 Add '-9' to each side of the equation. 9 + -9 + 4x = -0.1 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -0.1 + -9 4x = -0.1 + -9 Combine like terms: -0.1 + -9 = -9.1 4x = -9.1 Divide each side by '4'. x = -2.275 Simplifying x = -2.275
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