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Simplifying 10x + -2 = 8(x + -3) + 4 Reorder the terms: -2 + 10x = 8(x + -3) + 4 Reorder the terms: -2 + 10x = 8(-3 + x) + 4 -2 + 10x = (-3 * 8 + x * 8) + 4 -2 + 10x = (-24 + 8x) + 4 Reorder the terms: -2 + 10x = -24 + 4 + 8x Combine like terms: -24 + 4 = -20 -2 + 10x = -20 + 8x Solving -2 + 10x = -20 + 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. -2 + 10x + -8x = -20 + 8x + -8x Combine like terms: 10x + -8x = 2x -2 + 2x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 2x = -20 + 0 -2 + 2x = -20 Add '2' to each side of the equation. -2 + 2 + 2x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -20 + 2 2x = -20 + 2 Combine like terms: -20 + 2 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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