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Simplifying 3(2x + 5) + -4(x + -3) = 5(3x + 1) + -4 Reorder the terms: 3(5 + 2x) + -4(x + -3) = 5(3x + 1) + -4 (5 * 3 + 2x * 3) + -4(x + -3) = 5(3x + 1) + -4 (15 + 6x) + -4(x + -3) = 5(3x + 1) + -4 Reorder the terms: 15 + 6x + -4(-3 + x) = 5(3x + 1) + -4 15 + 6x + (-3 * -4 + x * -4) = 5(3x + 1) + -4 15 + 6x + (12 + -4x) = 5(3x + 1) + -4 Reorder the terms: 15 + 12 + 6x + -4x = 5(3x + 1) + -4 Combine like terms: 15 + 12 = 27 27 + 6x + -4x = 5(3x + 1) + -4 Combine like terms: 6x + -4x = 2x 27 + 2x = 5(3x + 1) + -4 Reorder the terms: 27 + 2x = 5(1 + 3x) + -4 27 + 2x = (1 * 5 + 3x * 5) + -4 27 + 2x = (5 + 15x) + -4 Reorder the terms: 27 + 2x = 5 + -4 + 15x Combine like terms: 5 + -4 = 1 27 + 2x = 1 + 15x Solving 27 + 2x = 1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + 2x + -15x = 1 + 15x + -15x Combine like terms: 2x + -15x = -13x 27 + -13x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -13x = 1 + 0 27 + -13x = 1 Add '-27' to each side of the equation. 27 + -27 + -13x = 1 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = 1 + -27 -13x = 1 + -27 Combine like terms: 1 + -27 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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