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Simplifying 0.5x + -0.5(2x + 3) = -0.6(x + 4) Reorder the terms: 0.5x + -0.5(3 + 2x) = -0.6(x + 4) 0.5x + (3 * -0.5 + 2x * -0.5) = -0.6(x + 4) 0.5x + (-1.5 + -1x) = -0.6(x + 4) Reorder the terms: -1.5 + 0.5x + -1x = -0.6(x + 4) Combine like terms: 0.5x + -1x = -0.5x -1.5 + -0.5x = -0.6(x + 4) Reorder the terms: -1.5 + -0.5x = -0.6(4 + x) -1.5 + -0.5x = (4 * -0.6 + x * -0.6) -1.5 + -0.5x = (-2.4 + -0.6x) Solving -1.5 + -0.5x = -2.4 + -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. -1.5 + -0.5x + 0.6x = -2.4 + -0.6x + 0.6x Combine like terms: -0.5x + 0.6x = 0.1x -1.5 + 0.1x = -2.4 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -1.5 + 0.1x = -2.4 + 0.0 -1.5 + 0.1x = -2.4 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.1x = -2.4 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.1x = -2.4 + 1.5 0.1x = -2.4 + 1.5 Combine like terms: -2.4 + 1.5 = -0.9 0.1x = -0.9 Divide each side by '0.1'. x = -9 Simplifying x = -9
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