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Simplifying 2(5x + -4) + -10 = 2x + 38 Reorder the terms: 2(-4 + 5x) + -10 = 2x + 38 (-4 * 2 + 5x * 2) + -10 = 2x + 38 (-8 + 10x) + -10 = 2x + 38 Reorder the terms: -8 + -10 + 10x = 2x + 38 Combine like terms: -8 + -10 = -18 -18 + 10x = 2x + 38 Reorder the terms: -18 + 10x = 38 + 2x Solving -18 + 10x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 10x + -2x = 38 + 2x + -2x Combine like terms: 10x + -2x = 8x -18 + 8x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 8x = 38 + 0 -18 + 8x = 38 Add '18' to each side of the equation. -18 + 18 + 8x = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 38 + 18 8x = 38 + 18 Combine like terms: 38 + 18 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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