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Simplifying 2(x + 5) = 6(x + -1) + 4 Reorder the terms: 2(5 + x) = 6(x + -1) + 4 (5 * 2 + x * 2) = 6(x + -1) + 4 (10 + 2x) = 6(x + -1) + 4 Reorder the terms: 10 + 2x = 6(-1 + x) + 4 10 + 2x = (-1 * 6 + x * 6) + 4 10 + 2x = (-6 + 6x) + 4 Reorder the terms: 10 + 2x = -6 + 4 + 6x Combine like terms: -6 + 4 = -2 10 + 2x = -2 + 6x Solving 10 + 2x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 2x + -6x = -2 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = -2 + 0 10 + -4x = -2 Add '-10' to each side of the equation. 10 + -10 + -4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -2 + -10 -4x = -2 + -10 Combine like terms: -2 + -10 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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