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Simplifying -4(x + 4) + 4 = 6(x + 2) + 2 Reorder the terms: -4(4 + x) + 4 = 6(x + 2) + 2 (4 * -4 + x * -4) + 4 = 6(x + 2) + 2 (-16 + -4x) + 4 = 6(x + 2) + 2 Reorder the terms: -16 + 4 + -4x = 6(x + 2) + 2 Combine like terms: -16 + 4 = -12 -12 + -4x = 6(x + 2) + 2 Reorder the terms: -12 + -4x = 6(2 + x) + 2 -12 + -4x = (2 * 6 + x * 6) + 2 -12 + -4x = (12 + 6x) + 2 Reorder the terms: -12 + -4x = 12 + 2 + 6x Combine like terms: 12 + 2 = 14 -12 + -4x = 14 + 6x Solving -12 + -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. -12 + -4x + -6x = 14 + 6x + -6x Combine like terms: -4x + -6x = -10x -12 + -10x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -10x = 14 + 0 -12 + -10x = 14 Add '12' to each side of the equation. -12 + 12 + -10x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 14 + 12 -10x = 14 + 12 Combine like terms: 14 + 12 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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