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Simplifying 5 + 3(x + 4) + 2x = 6(x + -3) + 5 Reorder the terms: 5 + 3(4 + x) + 2x = 6(x + -3) + 5 5 + (4 * 3 + x * 3) + 2x = 6(x + -3) + 5 5 + (12 + 3x) + 2x = 6(x + -3) + 5 Combine like terms: 5 + 12 = 17 17 + 3x + 2x = 6(x + -3) + 5 Combine like terms: 3x + 2x = 5x 17 + 5x = 6(x + -3) + 5 Reorder the terms: 17 + 5x = 6(-3 + x) + 5 17 + 5x = (-3 * 6 + x * 6) + 5 17 + 5x = (-18 + 6x) + 5 Reorder the terms: 17 + 5x = -18 + 5 + 6x Combine like terms: -18 + 5 = -13 17 + 5x = -13 + 6x Solving 17 + 5x = -13 + 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. 17 + 5x + -6x = -13 + 6x + -6x Combine like terms: 5x + -6x = -1x 17 + -1x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -1x = -13 + 0 17 + -1x = -13 Add '-17' to each side of the equation. 17 + -17 + -1x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -13 + -17 -1x = -13 + -17 Combine like terms: -13 + -17 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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