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Simplifying 0.2(x + 6) = -0.3(2x + -1) Reorder the terms: 0.2(6 + x) = -0.3(2x + -1) (6 * 0.2 + x * 0.2) = -0.3(2x + -1) (1.2 + 0.2x) = -0.3(2x + -1) Reorder the terms: 1.2 + 0.2x = -0.3(-1 + 2x) 1.2 + 0.2x = (-1 * -0.3 + 2x * -0.3) 1.2 + 0.2x = (0.3 + -0.6x) Solving 1.2 + 0.2x = 0.3 + -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. 1.2 + 0.2x + 0.6x = 0.3 + -0.6x + 0.6x Combine like terms: 0.2x + 0.6x = 0.8x 1.2 + 0.8x = 0.3 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 1.2 + 0.8x = 0.3 + 0.0 1.2 + 0.8x = 0.3 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.8x = 0.3 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.8x = 0.3 + -1.2 0.8x = 0.3 + -1.2 Combine like terms: 0.3 + -1.2 = -0.9 0.8x = -0.9 Divide each side by '0.8'. x = -1.125 Simplifying x = -1.125
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