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Simplifying 7x + 4 = 2(5x + -4) Reorder the terms: 4 + 7x = 2(5x + -4) Reorder the terms: 4 + 7x = 2(-4 + 5x) 4 + 7x = (-4 * 2 + 5x * 2) 4 + 7x = (-8 + 10x) Solving 4 + 7x = -8 + 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. 4 + 7x + -10x = -8 + 10x + -10x Combine like terms: 7x + -10x = -3x 4 + -3x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -3x = -8 + 0 4 + -3x = -8 Add '-4' to each side of the equation. 4 + -4 + -3x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -8 + -4 -3x = -8 + -4 Combine like terms: -8 + -4 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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