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Simplifying 3(2x + 5) + -2(4x + 1) = -5(x + 3) + -2 Reorder the terms: 3(5 + 2x) + -2(4x + 1) = -5(x + 3) + -2 (5 * 3 + 2x * 3) + -2(4x + 1) = -5(x + 3) + -2 (15 + 6x) + -2(4x + 1) = -5(x + 3) + -2 Reorder the terms: 15 + 6x + -2(1 + 4x) = -5(x + 3) + -2 15 + 6x + (1 * -2 + 4x * -2) = -5(x + 3) + -2 15 + 6x + (-2 + -8x) = -5(x + 3) + -2 Reorder the terms: 15 + -2 + 6x + -8x = -5(x + 3) + -2 Combine like terms: 15 + -2 = 13 13 + 6x + -8x = -5(x + 3) + -2 Combine like terms: 6x + -8x = -2x 13 + -2x = -5(x + 3) + -2 Reorder the terms: 13 + -2x = -5(3 + x) + -2 13 + -2x = (3 * -5 + x * -5) + -2 13 + -2x = (-15 + -5x) + -2 Reorder the terms: 13 + -2x = -15 + -2 + -5x Combine like terms: -15 + -2 = -17 13 + -2x = -17 + -5x Solving 13 + -2x = -17 + -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 + -2x + 5x = -17 + -5x + 5x Combine like terms: -2x + 5x = 3x 13 + 3x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 3x = -17 + 0 13 + 3x = -17 Add '-13' to each side of the equation. 13 + -13 + 3x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = -17 + -13 3x = -17 + -13 Combine like terms: -17 + -13 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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