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Simplifying 5[x + 43] = 2[3x + 4] Reorder the terms: 5[43 + x] = 2[3x + 4] [43 * 5 + x * 5] = 2[3x + 4] [215 + 5x] = 2[3x + 4] Reorder the terms: 215 + 5x = 2[4 + 3x] 215 + 5x = [4 * 2 + 3x * 2] 215 + 5x = [8 + 6x] Solving 215 + 5x = 8 + 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. 215 + 5x + -6x = 8 + 6x + -6x Combine like terms: 5x + -6x = -1x 215 + -1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 215 + -1x = 8 + 0 215 + -1x = 8 Add '-215' to each side of the equation. 215 + -215 + -1x = 8 + -215 Combine like terms: 215 + -215 = 0 0 + -1x = 8 + -215 -1x = 8 + -215 Combine like terms: 8 + -215 = -207 -1x = -207 Divide each side by '-1'. x = 207 Simplifying x = 207
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