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Simplifying 4(7x + -1) + -3(8x + -2) = 4 + -1(-3x + 2) Reorder the terms: 4(-1 + 7x) + -3(8x + -2) = 4 + -1(-3x + 2) (-1 * 4 + 7x * 4) + -3(8x + -2) = 4 + -1(-3x + 2) (-4 + 28x) + -3(8x + -2) = 4 + -1(-3x + 2) Reorder the terms: -4 + 28x + -3(-2 + 8x) = 4 + -1(-3x + 2) -4 + 28x + (-2 * -3 + 8x * -3) = 4 + -1(-3x + 2) -4 + 28x + (6 + -24x) = 4 + -1(-3x + 2) Reorder the terms: -4 + 6 + 28x + -24x = 4 + -1(-3x + 2) Combine like terms: -4 + 6 = 2 2 + 28x + -24x = 4 + -1(-3x + 2) Combine like terms: 28x + -24x = 4x 2 + 4x = 4 + -1(-3x + 2) Reorder the terms: 2 + 4x = 4 + -1(2 + -3x) 2 + 4x = 4 + (2 * -1 + -3x * -1) 2 + 4x = 4 + (-2 + 3x) Combine like terms: 4 + -2 = 2 2 + 4x = 2 + 3x Add '-2' to each side of the equation. 2 + -2 + 4x = 2 + -2 + 3x Combine like terms: 2 + -2 = 0 0 + 4x = 2 + -2 + 3x 4x = 2 + -2 + 3x Combine like terms: 2 + -2 = 0 4x = 0 + 3x 4x = 3x Solving 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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