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Simplifying 0.6(x + -4) + 0.5 = 1 + -0.5(8 + -2x) + -0.5 Reorder the terms: 0.6(-4 + x) + 0.5 = 1 + -0.5(8 + -2x) + -0.5 (-4 * 0.6 + x * 0.6) + 0.5 = 1 + -0.5(8 + -2x) + -0.5 (-2.4 + 0.6x) + 0.5 = 1 + -0.5(8 + -2x) + -0.5 Reorder the terms: -2.4 + 0.5 + 0.6x = 1 + -0.5(8 + -2x) + -0.5 Combine like terms: -2.4 + 0.5 = -1.9 -1.9 + 0.6x = 1 + -0.5(8 + -2x) + -0.5 -1.9 + 0.6x = 1 + (8 * -0.5 + -2x * -0.5) + -0.5 -1.9 + 0.6x = 1 + (-4 + 1x) + -0.5 Reorder the terms: -1.9 + 0.6x = 1 + -4 + -0.5 + 1x Combine like terms: 1 + -4 = -3 -1.9 + 0.6x = -3 + -0.5 + 1x Combine like terms: -3 + -0.5 = -3.5 -1.9 + 0.6x = -3.5 + 1x Solving -1.9 + 0.6x = -3.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1.9 + 0.6x + -1x = -3.5 + 1x + -1x Combine like terms: 0.6x + -1x = -0.4x -1.9 + -0.4x = -3.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.9 + -0.4x = -3.5 + 0 -1.9 + -0.4x = -3.5 Add '1.9' to each side of the equation. -1.9 + 1.9 + -0.4x = -3.5 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -0.4x = -3.5 + 1.9 -0.4x = -3.5 + 1.9 Combine like terms: -3.5 + 1.9 = -1.6 -0.4x = -1.6 Divide each side by '-0.4'. x = 4 Simplifying x = 4
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