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Simplifying (2x + -3) + 2(3x + 8) = 6x + -3 Reorder the terms: (-3 + 2x) + 2(3x + 8) = 6x + -3 Remove parenthesis around (-3 + 2x) -3 + 2x + 2(3x + 8) = 6x + -3 Reorder the terms: -3 + 2x + 2(8 + 3x) = 6x + -3 -3 + 2x + (8 * 2 + 3x * 2) = 6x + -3 -3 + 2x + (16 + 6x) = 6x + -3 Reorder the terms: -3 + 16 + 2x + 6x = 6x + -3 Combine like terms: -3 + 16 = 13 13 + 2x + 6x = 6x + -3 Combine like terms: 2x + 6x = 8x 13 + 8x = 6x + -3 Reorder the terms: 13 + 8x = -3 + 6x Solving 13 + 8x = -3 + 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. 13 + 8x + -6x = -3 + 6x + -6x Combine like terms: 8x + -6x = 2x 13 + 2x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 2x = -3 + 0 13 + 2x = -3 Add '-13' to each side of the equation. 13 + -13 + 2x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -3 + -13 2x = -3 + -13 Combine like terms: -3 + -13 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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