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Simplifying -5[3x + -9] = 2[x + -3] + -51 Reorder the terms: -5[-9 + 3x] = 2[x + -3] + -51 [-9 * -5 + 3x * -5] = 2[x + -3] + -51 [45 + -15x] = 2[x + -3] + -51 Reorder the terms: 45 + -15x = 2[-3 + x] + -51 45 + -15x = [-3 * 2 + x * 2] + -51 45 + -15x = [-6 + 2x] + -51 Reorder the terms: 45 + -15x = -6 + -51 + 2x Combine like terms: -6 + -51 = -57 45 + -15x = -57 + 2x Solving 45 + -15x = -57 + 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. 45 + -15x + -2x = -57 + 2x + -2x Combine like terms: -15x + -2x = -17x 45 + -17x = -57 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -17x = -57 + 0 45 + -17x = -57 Add '-45' to each side of the equation. 45 + -45 + -17x = -57 + -45 Combine like terms: 45 + -45 = 0 0 + -17x = -57 + -45 -17x = -57 + -45 Combine like terms: -57 + -45 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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