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Simplifying 5(2x + -3) + -1 = 4(2x + 6) Reorder the terms: 5(-3 + 2x) + -1 = 4(2x + 6) (-3 * 5 + 2x * 5) + -1 = 4(2x + 6) (-15 + 10x) + -1 = 4(2x + 6) Reorder the terms: -15 + -1 + 10x = 4(2x + 6) Combine like terms: -15 + -1 = -16 -16 + 10x = 4(2x + 6) Reorder the terms: -16 + 10x = 4(6 + 2x) -16 + 10x = (6 * 4 + 2x * 4) -16 + 10x = (24 + 8x) Solving -16 + 10x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 10x + -8x = 24 + 8x + -8x Combine like terms: 10x + -8x = 2x -16 + 2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 2x = 24 + 0 -16 + 2x = 24 Add '16' to each side of the equation. -16 + 16 + 2x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 24 + 16 2x = 24 + 16 Combine like terms: 24 + 16 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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