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Simplifying 5x + 3 = 3[14 + -6 + 2x + 10] Reorder the terms: 3 + 5x = 3[14 + -6 + 2x + 10] Reorder the terms: 3 + 5x = 3[14 + -6 + 10 + 2x] Combine like terms: 14 + -6 = 8 3 + 5x = 3[8 + 10 + 2x] Combine like terms: 8 + 10 = 18 3 + 5x = 3[18 + 2x] 3 + 5x = [18 * 3 + 2x * 3] 3 + 5x = [54 + 6x] Solving 3 + 5x = 54 + 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. 3 + 5x + -6x = 54 + 6x + -6x Combine like terms: 5x + -6x = -1x 3 + -1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -1x = 54 + 0 3 + -1x = 54 Add '-3' to each side of the equation. 3 + -3 + -1x = 54 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 54 + -3 -1x = 54 + -3 Combine like terms: 54 + -3 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51
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