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Simplifying 3(5x + -10) + 6 = 4(2x + 1) Reorder the terms: 3(-10 + 5x) + 6 = 4(2x + 1) (-10 * 3 + 5x * 3) + 6 = 4(2x + 1) (-30 + 15x) + 6 = 4(2x + 1) Reorder the terms: -30 + 6 + 15x = 4(2x + 1) Combine like terms: -30 + 6 = -24 -24 + 15x = 4(2x + 1) Reorder the terms: -24 + 15x = 4(1 + 2x) -24 + 15x = (1 * 4 + 2x * 4) -24 + 15x = (4 + 8x) Solving -24 + 15x = 4 + 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. -24 + 15x + -8x = 4 + 8x + -8x Combine like terms: 15x + -8x = 7x -24 + 7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 7x = 4 + 0 -24 + 7x = 4 Add '24' to each side of the equation. -24 + 24 + 7x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 4 + 24 7x = 4 + 24 Combine like terms: 4 + 24 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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