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Simplifying 0.6 + -1(4 + x) = 8x + -2(3x + 5) 0.6 + (4 * -1 + x * -1) = 8x + -2(3x + 5) 0.6 + (-4 + -1x) = 8x + -2(3x + 5) Combine like terms: 0.6 + -4 = -3.4 -3.4 + -1x = 8x + -2(3x + 5) Reorder the terms: -3.4 + -1x = 8x + -2(5 + 3x) -3.4 + -1x = 8x + (5 * -2 + 3x * -2) -3.4 + -1x = 8x + (-10 + -6x) Reorder the terms: -3.4 + -1x = -10 + 8x + -6x Combine like terms: 8x + -6x = 2x -3.4 + -1x = -10 + 2x Solving -3.4 + -1x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3.4 + -1x + -2x = -10 + 2x + -2x Combine like terms: -1x + -2x = -3x -3.4 + -3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -3.4 + -3x = -10 + 0 -3.4 + -3x = -10 Add '3.4' to each side of the equation. -3.4 + 3.4 + -3x = -10 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -3x = -10 + 3.4 -3x = -10 + 3.4 Combine like terms: -10 + 3.4 = -6.6 -3x = -6.6 Divide each side by '-3'. x = 2.2 Simplifying x = 2.2
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