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Simplifying 5(2x + 6) + -47 = 3(x + -15) + 16 Reorder the terms: 5(6 + 2x) + -47 = 3(x + -15) + 16 (6 * 5 + 2x * 5) + -47 = 3(x + -15) + 16 (30 + 10x) + -47 = 3(x + -15) + 16 Reorder the terms: 30 + -47 + 10x = 3(x + -15) + 16 Combine like terms: 30 + -47 = -17 -17 + 10x = 3(x + -15) + 16 Reorder the terms: -17 + 10x = 3(-15 + x) + 16 -17 + 10x = (-15 * 3 + x * 3) + 16 -17 + 10x = (-45 + 3x) + 16 Reorder the terms: -17 + 10x = -45 + 16 + 3x Combine like terms: -45 + 16 = -29 -17 + 10x = -29 + 3x Solving -17 + 10x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 10x + -3x = -29 + 3x + -3x Combine like terms: 10x + -3x = 7x -17 + 7x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 7x = -29 + 0 -17 + 7x = -29 Add '17' to each side of the equation. -17 + 17 + 7x = -29 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -29 + 17 7x = -29 + 17 Combine like terms: -29 + 17 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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