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Simplifying -6[x + 5] = 2[x + 2] Reorder the terms: -6[5 + x] = 2[x + 2] [5 * -6 + x * -6] = 2[x + 2] [-30 + -6x] = 2[x + 2] Reorder the terms: -30 + -6x = 2[2 + x] -30 + -6x = [2 * 2 + x * 2] -30 + -6x = [4 + 2x] Solving -30 + -6x = 4 + 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 = 4 + 2x + -2x Combine like terms: -6x + -2x = -8x -30 + -8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + -8x = 4 + 0 -30 + -8x = 4 Add '30' to each side of the equation. -30 + 30 + -8x = 4 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = 4 + 30 -8x = 4 + 30 Combine like terms: 4 + 30 = 34 -8x = 34 Divide each side by '-8'. x = -4.25 Simplifying x = -4.25
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