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Simplifying 6[x + -5] = -2[x + 43] Reorder the terms: 6[-5 + x] = -2[x + 43] [-5 * 6 + x * 6] = -2[x + 43] [-30 + 6x] = -2[x + 43] Reorder the terms: -30 + 6x = -2[43 + x] -30 + 6x = [43 * -2 + x * -2] -30 + 6x = [-86 + -2x] Solving -30 + 6x = -86 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 6x + 2x = -86 + -2x + 2x Combine like terms: 6x + 2x = 8x -30 + 8x = -86 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 8x = -86 + 0 -30 + 8x = -86 Add '30' to each side of the equation. -30 + 30 + 8x = -86 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = -86 + 30 8x = -86 + 30 Combine like terms: -86 + 30 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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