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