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Simplifying 3(0.2x + -1) = 1 + -0.6(x + 1) + 1.3x Reorder the terms: 3(-1 + 0.2x) = 1 + -0.6(x + 1) + 1.3x (-1 * 3 + 0.2x * 3) = 1 + -0.6(x + 1) + 1.3x (-3 + 0.6x) = 1 + -0.6(x + 1) + 1.3x Reorder the terms: -3 + 0.6x = 1 + -0.6(1 + x) + 1.3x -3 + 0.6x = 1 + (1 * -0.6 + x * -0.6) + 1.3x -3 + 0.6x = 1 + (-0.6 + -0.6x) + 1.3x Combine like terms: 1 + -0.6 = 0.4 -3 + 0.6x = 0.4 + -0.6x + 1.3x Combine like terms: -0.6x + 1.3x = 0.7x -3 + 0.6x = 0.4 + 0.7x Solving -3 + 0.6x = 0.4 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -3 + 0.6x + -0.7x = 0.4 + 0.7x + -0.7x Combine like terms: 0.6x + -0.7x = -0.1x -3 + -0.1x = 0.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -3 + -0.1x = 0.4 + 0.0 -3 + -0.1x = 0.4 Add '3' to each side of the equation. -3 + 3 + -0.1x = 0.4 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1x = 0.4 + 3 -0.1x = 0.4 + 3 Combine like terms: 0.4 + 3 = 3.4 -0.1x = 3.4 Divide each side by '-0.1'. x = -34 Simplifying x = -34
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