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Simplifying -0.4(x + -14) = -0.7(x + -0.5) Reorder the terms: -0.4(-14 + x) = -0.7(x + -0.5) (-14 * -0.4 + x * -0.4) = -0.7(x + -0.5) (5.6 + -0.4x) = -0.7(x + -0.5) Reorder the terms: 5.6 + -0.4x = -0.7(-0.5 + x) 5.6 + -0.4x = (-0.5 * -0.7 + x * -0.7) 5.6 + -0.4x = (0.35 + -0.7x) Solving 5.6 + -0.4x = 0.35 + -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. 5.6 + -0.4x + 0.7x = 0.35 + -0.7x + 0.7x Combine like terms: -0.4x + 0.7x = 0.3x 5.6 + 0.3x = 0.35 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 5.6 + 0.3x = 0.35 + 0.0 5.6 + 0.3x = 0.35 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 0.3x = 0.35 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 0.3x = 0.35 + -5.6 0.3x = 0.35 + -5.6 Combine like terms: 0.35 + -5.6 = -5.25 0.3x = -5.25 Divide each side by '0.3'. x = -17.5 Simplifying x = -17.5
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