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Simplifying 4(7x + -2) + -3(4x + -10) = 3(5x + 1) + -1 Reorder the terms: 4(-2 + 7x) + -3(4x + -10) = 3(5x + 1) + -1 (-2 * 4 + 7x * 4) + -3(4x + -10) = 3(5x + 1) + -1 (-8 + 28x) + -3(4x + -10) = 3(5x + 1) + -1 Reorder the terms: -8 + 28x + -3(-10 + 4x) = 3(5x + 1) + -1 -8 + 28x + (-10 * -3 + 4x * -3) = 3(5x + 1) + -1 -8 + 28x + (30 + -12x) = 3(5x + 1) + -1 Reorder the terms: -8 + 30 + 28x + -12x = 3(5x + 1) + -1 Combine like terms: -8 + 30 = 22 22 + 28x + -12x = 3(5x + 1) + -1 Combine like terms: 28x + -12x = 16x 22 + 16x = 3(5x + 1) + -1 Reorder the terms: 22 + 16x = 3(1 + 5x) + -1 22 + 16x = (1 * 3 + 5x * 3) + -1 22 + 16x = (3 + 15x) + -1 Reorder the terms: 22 + 16x = 3 + -1 + 15x Combine like terms: 3 + -1 = 2 22 + 16x = 2 + 15x Solving 22 + 16x = 2 + 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. 22 + 16x + -15x = 2 + 15x + -15x Combine like terms: 16x + -15x = 1x 22 + 1x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 22 + 1x = 2 + 0 22 + 1x = 2 Add '-22' to each side of the equation. 22 + -22 + 1x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 2 + -22 1x = 2 + -22 Combine like terms: 2 + -22 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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