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Simplifying (4x + -3) + 2(2x + 5) = 5x + -2 Reorder the terms: (-3 + 4x) + 2(2x + 5) = 5x + -2 Remove parenthesis around (-3 + 4x) -3 + 4x + 2(2x + 5) = 5x + -2 Reorder the terms: -3 + 4x + 2(5 + 2x) = 5x + -2 -3 + 4x + (5 * 2 + 2x * 2) = 5x + -2 -3 + 4x + (10 + 4x) = 5x + -2 Reorder the terms: -3 + 10 + 4x + 4x = 5x + -2 Combine like terms: -3 + 10 = 7 7 + 4x + 4x = 5x + -2 Combine like terms: 4x + 4x = 8x 7 + 8x = 5x + -2 Reorder the terms: 7 + 8x = -2 + 5x Solving 7 + 8x = -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. 7 + 8x + -5x = -2 + 5x + -5x Combine like terms: 8x + -5x = 3x 7 + 3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 3x = -2 + 0 7 + 3x = -2 Add '-7' to each side of the equation. 7 + -7 + 3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -2 + -7 3x = -2 + -7 Combine like terms: -2 + -7 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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