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Simplifying 5(2x + 10) + -3(x + 4) = 8x + (38 + -4) Reorder the terms: 5(10 + 2x) + -3(x + 4) = 8x + (38 + -4) (10 * 5 + 2x * 5) + -3(x + 4) = 8x + (38 + -4) (50 + 10x) + -3(x + 4) = 8x + (38 + -4) Reorder the terms: 50 + 10x + -3(4 + x) = 8x + (38 + -4) 50 + 10x + (4 * -3 + x * -3) = 8x + (38 + -4) 50 + 10x + (-12 + -3x) = 8x + (38 + -4) Reorder the terms: 50 + -12 + 10x + -3x = 8x + (38 + -4) Combine like terms: 50 + -12 = 38 38 + 10x + -3x = 8x + (38 + -4) Combine like terms: 10x + -3x = 7x 38 + 7x = 8x + (38 + -4) Combine like terms: 38 + -4 = 34 38 + 7x = 8x + (34) 38 + 7x = 8x + 34 Reorder the terms: 38 + 7x = 34 + 8x Solving 38 + 7x = 34 + 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. 38 + 7x + -8x = 34 + 8x + -8x Combine like terms: 7x + -8x = -1x 38 + -1x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -1x = 34 + 0 38 + -1x = 34 Add '-38' to each side of the equation. 38 + -38 + -1x = 34 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 34 + -38 -1x = 34 + -38 Combine like terms: 34 + -38 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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