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Simplifying -4(x + 3) + 4 = 6(x + 2) + 6 Reorder the terms: -4(3 + x) + 4 = 6(x + 2) + 6 (3 * -4 + x * -4) + 4 = 6(x + 2) + 6 (-12 + -4x) + 4 = 6(x + 2) + 6 Reorder the terms: -12 + 4 + -4x = 6(x + 2) + 6 Combine like terms: -12 + 4 = -8 -8 + -4x = 6(x + 2) + 6 Reorder the terms: -8 + -4x = 6(2 + x) + 6 -8 + -4x = (2 * 6 + x * 6) + 6 -8 + -4x = (12 + 6x) + 6 Reorder the terms: -8 + -4x = 12 + 6 + 6x Combine like terms: 12 + 6 = 18 -8 + -4x = 18 + 6x Solving -8 + -4x = 18 + 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. -8 + -4x + -6x = 18 + 6x + -6x Combine like terms: -4x + -6x = -10x -8 + -10x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -10x = 18 + 0 -8 + -10x = 18 Add '8' to each side of the equation. -8 + 8 + -10x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 18 + 8 -10x = 18 + 8 Combine like terms: 18 + 8 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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