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Simplifying -4(x + 6) + 6 = 6(x + 3) + 6 Reorder the terms: -4(6 + x) + 6 = 6(x + 3) + 6 (6 * -4 + x * -4) + 6 = 6(x + 3) + 6 (-24 + -4x) + 6 = 6(x + 3) + 6 Reorder the terms: -24 + 6 + -4x = 6(x + 3) + 6 Combine like terms: -24 + 6 = -18 -18 + -4x = 6(x + 3) + 6 Reorder the terms: -18 + -4x = 6(3 + x) + 6 -18 + -4x = (3 * 6 + x * 6) + 6 -18 + -4x = (18 + 6x) + 6 Reorder the terms: -18 + -4x = 18 + 6 + 6x Combine like terms: 18 + 6 = 24 -18 + -4x = 24 + 6x Solving -18 + -4x = 24 + 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. -18 + -4x + -6x = 24 + 6x + -6x Combine like terms: -4x + -6x = -10x -18 + -10x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -10x = 24 + 0 -18 + -10x = 24 Add '18' to each side of the equation. -18 + 18 + -10x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 24 + 18 -10x = 24 + 18 Combine like terms: 24 + 18 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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