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Simplifying 4(x + 6) + 2x = 4 + 10x Reorder the terms: 4(6 + x) + 2x = 4 + 10x (6 * 4 + x * 4) + 2x = 4 + 10x (24 + 4x) + 2x = 4 + 10x Combine like terms: 4x + 2x = 6x 24 + 6x = 4 + 10x Solving 24 + 6x = 4 + 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. 24 + 6x + -10x = 4 + 10x + -10x Combine like terms: 6x + -10x = -4x 24 + -4x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -4x = 4 + 0 24 + -4x = 4 Add '-24' to each side of the equation. 24 + -24 + -4x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 4 + -24 -4x = 4 + -24 Combine like terms: 4 + -24 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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