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Simplifying 5 + 5(x + 2) + 3x2 = 4 + 3(2x + -6) + 3x2 Reorder the terms: 5 + 5(2 + x) + 3x2 = 4 + 3(2x + -6) + 3x2 5 + (2 * 5 + x * 5) + 3x2 = 4 + 3(2x + -6) + 3x2 5 + (10 + 5x) + 3x2 = 4 + 3(2x + -6) + 3x2 Combine like terms: 5 + 10 = 15 15 + 5x + 3x2 = 4 + 3(2x + -6) + 3x2 Reorder the terms: 15 + 5x + 3x2 = 4 + 3(-6 + 2x) + 3x2 15 + 5x + 3x2 = 4 + (-6 * 3 + 2x * 3) + 3x2 15 + 5x + 3x2 = 4 + (-18 + 6x) + 3x2 Combine like terms: 4 + -18 = -14 15 + 5x + 3x2 = -14 + 6x + 3x2 Add '-3x2' to each side of the equation. 15 + 5x + 3x2 + -3x2 = -14 + 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 15 + 5x + 0 = -14 + 6x + 3x2 + -3x2 15 + 5x = -14 + 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 15 + 5x = -14 + 6x + 0 15 + 5x = -14 + 6x Solving 15 + 5x = -14 + 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. 15 + 5x + -6x = -14 + 6x + -6x Combine like terms: 5x + -6x = -1x 15 + -1x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -1x = -14 + 0 15 + -1x = -14 Add '-15' to each side of the equation. 15 + -15 + -1x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -14 + -15 -1x = -14 + -15 Combine like terms: -14 + -15 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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