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