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Simplifying (4x + -3) + 2(3x + 8) = 5x + -2 Reorder the terms: (-3 + 4x) + 2(3x + 8) = 5x + -2 Remove parenthesis around (-3 + 4x) -3 + 4x + 2(3x + 8) = 5x + -2 Reorder the terms: -3 + 4x + 2(8 + 3x) = 5x + -2 -3 + 4x + (8 * 2 + 3x * 2) = 5x + -2 -3 + 4x + (16 + 6x) = 5x + -2 Reorder the terms: -3 + 16 + 4x + 6x = 5x + -2 Combine like terms: -3 + 16 = 13 13 + 4x + 6x = 5x + -2 Combine like terms: 4x + 6x = 10x 13 + 10x = 5x + -2 Reorder the terms: 13 + 10x = -2 + 5x Solving 13 + 10x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 10x + -5x = -2 + 5x + -5x Combine like terms: 10x + -5x = 5x 13 + 5x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 5x = -2 + 0 13 + 5x = -2 Add '-13' to each side of the equation. 13 + -13 + 5x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = -2 + -13 5x = -2 + -13 Combine like terms: -2 + -13 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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