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Simplifying 0.4(4x + 7) + 3.2 = 0.5(4x + -4) Reorder the terms: 0.4(7 + 4x) + 3.2 = 0.5(4x + -4) (7 * 0.4 + 4x * 0.4) + 3.2 = 0.5(4x + -4) (2.8 + 1.6x) + 3.2 = 0.5(4x + -4) Reorder the terms: 2.8 + 3.2 + 1.6x = 0.5(4x + -4) Combine like terms: 2.8 + 3.2 = 6 6 + 1.6x = 0.5(4x + -4) Reorder the terms: 6 + 1.6x = 0.5(-4 + 4x) 6 + 1.6x = (-4 * 0.5 + 4x * 0.5) 6 + 1.6x = (-2 + 2x) Solving 6 + 1.6x = -2 + 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. 6 + 1.6x + -2x = -2 + 2x + -2x Combine like terms: 1.6x + -2x = -0.4x 6 + -0.4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -0.4x = -2 + 0 6 + -0.4x = -2 Add '-6' to each side of the equation. 6 + -6 + -0.4x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -0.4x = -2 + -6 -0.4x = -2 + -6 Combine like terms: -2 + -6 = -8 -0.4x = -8 Divide each side by '-0.4'. x = 20 Simplifying x = 20
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