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Simplifying 4(x + 2) = 10(x + -4) Reorder the terms: 4(2 + x) = 10(x + -4) (2 * 4 + x * 4) = 10(x + -4) (8 + 4x) = 10(x + -4) Reorder the terms: 8 + 4x = 10(-4 + x) 8 + 4x = (-4 * 10 + x * 10) 8 + 4x = (-40 + 10x) Solving 8 + 4x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 4x + -10x = -40 + 10x + -10x Combine like terms: 4x + -10x = -6x 8 + -6x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -6x = -40 + 0 8 + -6x = -40 Add '-8' to each side of the equation. 8 + -8 + -6x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -40 + -8 -6x = -40 + -8 Combine like terms: -40 + -8 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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