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Simplifying 6[2x + -5] = -1[x + 4] Reorder the terms: 6[-5 + 2x] = -1[x + 4] [-5 * 6 + 2x * 6] = -1[x + 4] [-30 + 12x] = -1[x + 4] Reorder the terms: -30 + 12x = -1[4 + x] -30 + 12x = [4 * -1 + x * -1] -30 + 12x = [-4 + -1x] Solving -30 + 12x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + 12x + x = -4 + -1x + x Combine like terms: 12x + x = 13x -30 + 13x = -4 + -1x + x Combine like terms: -1x + x = 0 -30 + 13x = -4 + 0 -30 + 13x = -4 Add '30' to each side of the equation. -30 + 30 + 13x = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = -4 + 30 13x = -4 + 30 Combine like terms: -4 + 30 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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