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Simplifying 7x + 3x(2) + -8 = 17 + -8(x + -4) Reorder the terms for easier multiplication: 7x + 3 * 2x + -8 = 17 + -8(x + -4) Multiply 3 * 2 7x + 6x + -8 = 17 + -8(x + -4) Reorder the terms: -8 + 7x + 6x = 17 + -8(x + -4) Combine like terms: 7x + 6x = 13x -8 + 13x = 17 + -8(x + -4) Reorder the terms: -8 + 13x = 17 + -8(-4 + x) -8 + 13x = 17 + (-4 * -8 + x * -8) -8 + 13x = 17 + (32 + -8x) Combine like terms: 17 + 32 = 49 -8 + 13x = 49 + -8x Solving -8 + 13x = 49 + -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. -8 + 13x + 8x = 49 + -8x + 8x Combine like terms: 13x + 8x = 21x -8 + 21x = 49 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 21x = 49 + 0 -8 + 21x = 49 Add '8' to each side of the equation. -8 + 8 + 21x = 49 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = 49 + 8 21x = 49 + 8 Combine like terms: 49 + 8 = 57 21x = 57 Divide each side by '21'. x = 2.714285714 Simplifying x = 2.714285714
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