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Simplifying 3(5x + -1) + -4(x + -4) = 5(2x + 10) Reorder the terms: 3(-1 + 5x) + -4(x + -4) = 5(2x + 10) (-1 * 3 + 5x * 3) + -4(x + -4) = 5(2x + 10) (-3 + 15x) + -4(x + -4) = 5(2x + 10) Reorder the terms: -3 + 15x + -4(-4 + x) = 5(2x + 10) -3 + 15x + (-4 * -4 + x * -4) = 5(2x + 10) -3 + 15x + (16 + -4x) = 5(2x + 10) Reorder the terms: -3 + 16 + 15x + -4x = 5(2x + 10) Combine like terms: -3 + 16 = 13 13 + 15x + -4x = 5(2x + 10) Combine like terms: 15x + -4x = 11x 13 + 11x = 5(2x + 10) Reorder the terms: 13 + 11x = 5(10 + 2x) 13 + 11x = (10 * 5 + 2x * 5) 13 + 11x = (50 + 10x) Solving 13 + 11x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 11x + -10x = 50 + 10x + -10x Combine like terms: 11x + -10x = 1x 13 + 1x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + 1x = 50 + 0 13 + 1x = 50 Add '-13' to each side of the equation. 13 + -13 + 1x = 50 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 50 + -13 1x = 50 + -13 Combine like terms: 50 + -13 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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