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Simplifying 0.8(3x + 10) = 4(x + -4) Reorder the terms: 0.8(10 + 3x) = 4(x + -4) (10 * 0.8 + 3x * 0.8) = 4(x + -4) (8 + 2.4x) = 4(x + -4) Reorder the terms: 8 + 2.4x = 4(-4 + x) 8 + 2.4x = (-4 * 4 + x * 4) 8 + 2.4x = (-16 + 4x) Solving 8 + 2.4x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 2.4x + -4x = -16 + 4x + -4x Combine like terms: 2.4x + -4x = -1.6x 8 + -1.6x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -1.6x = -16 + 0 8 + -1.6x = -16 Add '-8' to each side of the equation. 8 + -8 + -1.6x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -1.6x = -16 + -8 -1.6x = -16 + -8 Combine like terms: -16 + -8 = -24 -1.6x = -24 Divide each side by '-1.6'. x = 15 Simplifying x = 15
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