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Simplifying 0.5(6x + -8) = 1.4(x + -5) + -0.2 Reorder the terms: 0.5(-8 + 6x) = 1.4(x + -5) + -0.2 (-8 * 0.5 + 6x * 0.5) = 1.4(x + -5) + -0.2 (-4 + 3x) = 1.4(x + -5) + -0.2 Reorder the terms: -4 + 3x = 1.4(-5 + x) + -0.2 -4 + 3x = (-5 * 1.4 + x * 1.4) + -0.2 -4 + 3x = (-7 + 1.4x) + -0.2 Reorder the terms: -4 + 3x = -7 + -0.2 + 1.4x Combine like terms: -7 + -0.2 = -7.2 -4 + 3x = -7.2 + 1.4x Solving -4 + 3x = -7.2 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -4 + 3x + -1.4x = -7.2 + 1.4x + -1.4x Combine like terms: 3x + -1.4x = 1.6x -4 + 1.6x = -7.2 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -4 + 1.6x = -7.2 + 0.0 -4 + 1.6x = -7.2 Add '4' to each side of the equation. -4 + 4 + 1.6x = -7.2 + 4 Combine like terms: -4 + 4 = 0 0 + 1.6x = -7.2 + 4 1.6x = -7.2 + 4 Combine like terms: -7.2 + 4 = -3.2 1.6x = -3.2 Divide each side by '1.6'. x = -2 Simplifying x = -2
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