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Simplifying 38 + x = -8x + 5(7 + 2x) 38 + x = -8x + (7 * 5 + 2x * 5) 38 + x = -8x + (35 + 10x) Reorder the terms: 38 + x = 35 + -8x + 10x Combine like terms: -8x + 10x = 2x 38 + x = 35 + 2x Solving 38 + x = 35 + 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. 38 + x + -2x = 35 + 2x + -2x Combine like terms: x + -2x = -1x 38 + -1x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -1x = 35 + 0 38 + -1x = 35 Add '-38' to each side of the equation. 38 + -38 + -1x = 35 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 35 + -38 -1x = 35 + -38 Combine like terms: 35 + -38 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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