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Simplifying 0.3(2x + -4) + 5 = -0.6(x + 1) Reorder the terms: 0.3(-4 + 2x) + 5 = -0.6(x + 1) (-4 * 0.3 + 2x * 0.3) + 5 = -0.6(x + 1) (-1.2 + 0.6x) + 5 = -0.6(x + 1) Reorder the terms: -1.2 + 5 + 0.6x = -0.6(x + 1) Combine like terms: -1.2 + 5 = 3.8 3.8 + 0.6x = -0.6(x + 1) Reorder the terms: 3.8 + 0.6x = -0.6(1 + x) 3.8 + 0.6x = (1 * -0.6 + x * -0.6) 3.8 + 0.6x = (-0.6 + -0.6x) Solving 3.8 + 0.6x = -0.6 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 3.8 + 0.6x + 0.6x = -0.6 + -0.6x + 0.6x Combine like terms: 0.6x + 0.6x = 1.2x 3.8 + 1.2x = -0.6 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 3.8 + 1.2x = -0.6 + 0.0 3.8 + 1.2x = -0.6 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 1.2x = -0.6 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 1.2x = -0.6 + -3.8 1.2x = -0.6 + -3.8 Combine like terms: -0.6 + -3.8 = -4.4 1.2x = -4.4 Divide each side by '1.2'. x = -3.666666667 Simplifying x = -3.666666667
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