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Simplifying 0.5(x + -3) + -0.4(x + 3) = 1.3 + -0.4x Reorder the terms: 0.5(-3 + x) + -0.4(x + 3) = 1.3 + -0.4x (-3 * 0.5 + x * 0.5) + -0.4(x + 3) = 1.3 + -0.4x (-1.5 + 0.5x) + -0.4(x + 3) = 1.3 + -0.4x Reorder the terms: -1.5 + 0.5x + -0.4(3 + x) = 1.3 + -0.4x -1.5 + 0.5x + (3 * -0.4 + x * -0.4) = 1.3 + -0.4x -1.5 + 0.5x + (-1.2 + -0.4x) = 1.3 + -0.4x Reorder the terms: -1.5 + -1.2 + 0.5x + -0.4x = 1.3 + -0.4x Combine like terms: -1.5 + -1.2 = -2.7 -2.7 + 0.5x + -0.4x = 1.3 + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -2.7 + 0.1x = 1.3 + -0.4x Solving -2.7 + 0.1x = 1.3 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -2.7 + 0.1x + 0.4x = 1.3 + -0.4x + 0.4x Combine like terms: 0.1x + 0.4x = 0.5x -2.7 + 0.5x = 1.3 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -2.7 + 0.5x = 1.3 + 0.0 -2.7 + 0.5x = 1.3 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.5x = 1.3 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.5x = 1.3 + 2.7 0.5x = 1.3 + 2.7 Combine like terms: 1.3 + 2.7 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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