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Simplifying 10x + 2 = 4(x + -1) + 24 Reorder the terms: 2 + 10x = 4(x + -1) + 24 Reorder the terms: 2 + 10x = 4(-1 + x) + 24 2 + 10x = (-1 * 4 + x * 4) + 24 2 + 10x = (-4 + 4x) + 24 Reorder the terms: 2 + 10x = -4 + 24 + 4x Combine like terms: -4 + 24 = 20 2 + 10x = 20 + 4x Solving 2 + 10x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 10x + -4x = 20 + 4x + -4x Combine like terms: 10x + -4x = 6x 2 + 6x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 6x = 20 + 0 2 + 6x = 20 Add '-2' to each side of the equation. 2 + -2 + 6x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 20 + -2 6x = 20 + -2 Combine like terms: 20 + -2 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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