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Simplifying -4(x + 2) + 6 = 6(x + 2) + 4 Reorder the terms: -4(2 + x) + 6 = 6(x + 2) + 4 (2 * -4 + x * -4) + 6 = 6(x + 2) + 4 (-8 + -4x) + 6 = 6(x + 2) + 4 Reorder the terms: -8 + 6 + -4x = 6(x + 2) + 4 Combine like terms: -8 + 6 = -2 -2 + -4x = 6(x + 2) + 4 Reorder the terms: -2 + -4x = 6(2 + x) + 4 -2 + -4x = (2 * 6 + x * 6) + 4 -2 + -4x = (12 + 6x) + 4 Reorder the terms: -2 + -4x = 12 + 4 + 6x Combine like terms: 12 + 4 = 16 -2 + -4x = 16 + 6x Solving -2 + -4x = 16 + 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. -2 + -4x + -6x = 16 + 6x + -6x Combine like terms: -4x + -6x = -10x -2 + -10x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -10x = 16 + 0 -2 + -10x = 16 Add '2' to each side of the equation. -2 + 2 + -10x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 16 + 2 -10x = 16 + 2 Combine like terms: 16 + 2 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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