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Simplifying 4(4 + -10x) = 6(2 + -4x) (4 * 4 + -10x * 4) = 6(2 + -4x) (16 + -40x) = 6(2 + -4x) 16 + -40x = (2 * 6 + -4x * 6) 16 + -40x = (12 + -24x) Solving 16 + -40x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 16 + -40x + 24x = 12 + -24x + 24x Combine like terms: -40x + 24x = -16x 16 + -16x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 16 + -16x = 12 + 0 16 + -16x = 12 Add '-16' to each side of the equation. 16 + -16 + -16x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -16x = 12 + -16 -16x = 12 + -16 Combine like terms: 12 + -16 = -4 -16x = -4 Divide each side by '-16'. x = 0.25 Simplifying x = 0.25
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