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Simplifying 5(x + 6) = 3[x + -1(7 + -1x)] Reorder the terms: 5(6 + x) = 3[x + -1(7 + -1x)] (6 * 5 + x * 5) = 3[x + -1(7 + -1x)] (30 + 5x) = 3[x + -1(7 + -1x)] 30 + 5x = 3[x + (7 * -1 + -1x * -1)] 30 + 5x = 3[x + (-7 + 1x)] Reorder the terms: 30 + 5x = 3[-7 + x + 1x] Combine like terms: x + 1x = 2x 30 + 5x = 3[-7 + 2x] 30 + 5x = [-7 * 3 + 2x * 3] 30 + 5x = [-21 + 6x] Solving 30 + 5x = -21 + 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. 30 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x 30 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -1x = -21 + 0 30 + -1x = -21 Add '-30' to each side of the equation. 30 + -30 + -1x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -21 + -30 -1x = -21 + -30 Combine like terms: -21 + -30 = -51 -1x = -51 Divide each side by '-1'. x = 51 Simplifying x = 51
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