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Simplifying 4(x + 8) + -2 = 6(x + -12) Reorder the terms: 4(8 + x) + -2 = 6(x + -12) (8 * 4 + x * 4) + -2 = 6(x + -12) (32 + 4x) + -2 = 6(x + -12) Reorder the terms: 32 + -2 + 4x = 6(x + -12) Combine like terms: 32 + -2 = 30 30 + 4x = 6(x + -12) Reorder the terms: 30 + 4x = 6(-12 + x) 30 + 4x = (-12 * 6 + x * 6) 30 + 4x = (-72 + 6x) Solving 30 + 4x = -72 + 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. 30 + 4x + -6x = -72 + 6x + -6x Combine like terms: 4x + -6x = -2x 30 + -2x = -72 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -2x = -72 + 0 30 + -2x = -72 Add '-30' to each side of the equation. 30 + -30 + -2x = -72 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = -72 + -30 -2x = -72 + -30 Combine like terms: -72 + -30 = -102 -2x = -102 Divide each side by '-2'. x = 51 Simplifying x = 51
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