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Simplifying 5[x + -4] = 2[x + -7] Reorder the terms: 5[-4 + x] = 2[x + -7] [-4 * 5 + x * 5] = 2[x + -7] [-20 + 5x] = 2[x + -7] Reorder the terms: -20 + 5x = 2[-7 + x] -20 + 5x = [-7 * 2 + x * 2] -20 + 5x = [-14 + 2x] Solving -20 + 5x = -14 + 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. -20 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = -14 + 0 -20 + 3x = -14 Add '20' to each side of the equation. -20 + 20 + 3x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -14 + 20 3x = -14 + 20 Combine like terms: -14 + 20 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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