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Simplifying 2x + 5(3x + 8) + -7 + 5x = 2 + 3x + -7 Reorder the terms: 2x + 5(8 + 3x) + -7 + 5x = 2 + 3x + -7 2x + (8 * 5 + 3x * 5) + -7 + 5x = 2 + 3x + -7 2x + (40 + 15x) + -7 + 5x = 2 + 3x + -7 Reorder the terms: 40 + -7 + 2x + 15x + 5x = 2 + 3x + -7 Combine like terms: 40 + -7 = 33 33 + 2x + 15x + 5x = 2 + 3x + -7 Combine like terms: 2x + 15x = 17x 33 + 17x + 5x = 2 + 3x + -7 Combine like terms: 17x + 5x = 22x 33 + 22x = 2 + 3x + -7 Reorder the terms: 33 + 22x = 2 + -7 + 3x Combine like terms: 2 + -7 = -5 33 + 22x = -5 + 3x Solving 33 + 22x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 33 + 22x + -3x = -5 + 3x + -3x Combine like terms: 22x + -3x = 19x 33 + 19x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 33 + 19x = -5 + 0 33 + 19x = -5 Add '-33' to each side of the equation. 33 + -33 + 19x = -5 + -33 Combine like terms: 33 + -33 = 0 0 + 19x = -5 + -33 19x = -5 + -33 Combine like terms: -5 + -33 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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