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Simplifying 4(x + 6) + -2 = 6(x + 4) + -10 Reorder the terms: 4(6 + x) + -2 = 6(x + 4) + -10 (6 * 4 + x * 4) + -2 = 6(x + 4) + -10 (24 + 4x) + -2 = 6(x + 4) + -10 Reorder the terms: 24 + -2 + 4x = 6(x + 4) + -10 Combine like terms: 24 + -2 = 22 22 + 4x = 6(x + 4) + -10 Reorder the terms: 22 + 4x = 6(4 + x) + -10 22 + 4x = (4 * 6 + x * 6) + -10 22 + 4x = (24 + 6x) + -10 Reorder the terms: 22 + 4x = 24 + -10 + 6x Combine like terms: 24 + -10 = 14 22 + 4x = 14 + 6x Solving 22 + 4x = 14 + 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. 22 + 4x + -6x = 14 + 6x + -6x Combine like terms: 4x + -6x = -2x 22 + -2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -2x = 14 + 0 22 + -2x = 14 Add '-22' to each side of the equation. 22 + -22 + -2x = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 14 + -22 -2x = 14 + -22 Combine like terms: 14 + -22 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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