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Simplifying 3(x + -4) + 6(x + 4) = 6x + 93 Reorder the terms: 3(-4 + x) + 6(x + 4) = 6x + 93 (-4 * 3 + x * 3) + 6(x + 4) = 6x + 93 (-12 + 3x) + 6(x + 4) = 6x + 93 Reorder the terms: -12 + 3x + 6(4 + x) = 6x + 93 -12 + 3x + (4 * 6 + x * 6) = 6x + 93 -12 + 3x + (24 + 6x) = 6x + 93 Reorder the terms: -12 + 24 + 3x + 6x = 6x + 93 Combine like terms: -12 + 24 = 12 12 + 3x + 6x = 6x + 93 Combine like terms: 3x + 6x = 9x 12 + 9x = 6x + 93 Reorder the terms: 12 + 9x = 93 + 6x Solving 12 + 9x = 93 + 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 + 9x + -6x = 93 + 6x + -6x Combine like terms: 9x + -6x = 3x 12 + 3x = 93 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 3x = 93 + 0 12 + 3x = 93 Add '-12' to each side of the equation. 12 + -12 + 3x = 93 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 93 + -12 3x = 93 + -12 Combine like terms: 93 + -12 = 81 3x = 81 Divide each side by '3'. x = 27 Simplifying x = 27
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