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Simplifying 0.3(3 + -2x) = -4(x + 1) (3 * 0.3 + -2x * 0.3) = -4(x + 1) (0.9 + -0.6x) = -4(x + 1) Reorder the terms: 0.9 + -0.6x = -4(1 + x) 0.9 + -0.6x = (1 * -4 + x * -4) 0.9 + -0.6x = (-4 + -4x) Solving 0.9 + -0.6x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 0.9 + -0.6x + 4x = -4 + -4x + 4x Combine like terms: -0.6x + 4x = 3.4x 0.9 + 3.4x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 0.9 + 3.4x = -4 + 0 0.9 + 3.4x = -4 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 3.4x = -4 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 3.4x = -4 + -0.9 3.4x = -4 + -0.9 Combine like terms: -4 + -0.9 = -4.9 3.4x = -4.9 Divide each side by '3.4'. x = -1.441176471 Simplifying x = -1.441176471
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