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Simplifying -6[x + 4] + 3[6x + -5] = 12x + 3x Reorder the terms: -6[4 + x] + 3[6x + -5] = 12x + 3x [4 * -6 + x * -6] + 3[6x + -5] = 12x + 3x [-24 + -6x] + 3[6x + -5] = 12x + 3x Reorder the terms: -24 + -6x + 3[-5 + 6x] = 12x + 3x -24 + -6x + [-5 * 3 + 6x * 3] = 12x + 3x -24 + -6x + [-15 + 18x] = 12x + 3x Reorder the terms: -24 + -15 + -6x + 18x = 12x + 3x Combine like terms: -24 + -15 = -39 -39 + -6x + 18x = 12x + 3x Combine like terms: -6x + 18x = 12x -39 + 12x = 12x + 3x Combine like terms: 12x + 3x = 15x -39 + 12x = 15x Solving -39 + 12x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -39 + 12x + -15x = 15x + -15x Combine like terms: 12x + -15x = -3x -39 + -3x = 15x + -15x Combine like terms: 15x + -15x = 0 -39 + -3x = 0 Add '39' to each side of the equation. -39 + 39 + -3x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -3x = 0 + 39 -3x = 0 + 39 Combine like terms: 0 + 39 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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