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Simplifying 5(3x + -4) = 8(2x + 1) Reorder the terms: 5(-4 + 3x) = 8(2x + 1) (-4 * 5 + 3x * 5) = 8(2x + 1) (-20 + 15x) = 8(2x + 1) Reorder the terms: -20 + 15x = 8(1 + 2x) -20 + 15x = (1 * 8 + 2x * 8) -20 + 15x = (8 + 16x) Solving -20 + 15x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -20 + 15x + -16x = 8 + 16x + -16x Combine like terms: 15x + -16x = -1x -20 + -1x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -20 + -1x = 8 + 0 -20 + -1x = 8 Add '20' to each side of the equation. -20 + 20 + -1x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 8 + 20 -1x = 8 + 20 Combine like terms: 8 + 20 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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