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Simplifying 8(2x + -1) = 5 + 3(4x + -3) Reorder the terms: 8(-1 + 2x) = 5 + 3(4x + -3) (-1 * 8 + 2x * 8) = 5 + 3(4x + -3) (-8 + 16x) = 5 + 3(4x + -3) Reorder the terms: -8 + 16x = 5 + 3(-3 + 4x) -8 + 16x = 5 + (-3 * 3 + 4x * 3) -8 + 16x = 5 + (-9 + 12x) Combine like terms: 5 + -9 = -4 -8 + 16x = -4 + 12x Solving -8 + 16x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 16x + -12x = -4 + 12x + -12x Combine like terms: 16x + -12x = 4x -8 + 4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 4x = -4 + 0 -8 + 4x = -4 Add '8' to each side of the equation. -8 + 8 + 4x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -4 + 8 4x = -4 + 8 Combine like terms: -4 + 8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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