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Simplifying 5[x + 7] = 3[2x + -1] Reorder the terms: 5[7 + x] = 3[2x + -1] [7 * 5 + x * 5] = 3[2x + -1] [35 + 5x] = 3[2x + -1] Reorder the terms: 35 + 5x = 3[-1 + 2x] 35 + 5x = [-1 * 3 + 2x * 3] 35 + 5x = [-3 + 6x] Solving 35 + 5x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 5x + -6x = -3 + 6x + -6x Combine like terms: 5x + -6x = -1x 35 + -1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -1x = -3 + 0 35 + -1x = -3 Add '-35' to each side of the equation. 35 + -35 + -1x = -3 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = -3 + -35 -1x = -3 + -35 Combine like terms: -3 + -35 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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