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Simplifying 7(x + -4) + -3 = 2(x + -4) + 17 Reorder the terms: 7(-4 + x) + -3 = 2(x + -4) + 17 (-4 * 7 + x * 7) + -3 = 2(x + -4) + 17 (-28 + 7x) + -3 = 2(x + -4) + 17 Reorder the terms: -28 + -3 + 7x = 2(x + -4) + 17 Combine like terms: -28 + -3 = -31 -31 + 7x = 2(x + -4) + 17 Reorder the terms: -31 + 7x = 2(-4 + x) + 17 -31 + 7x = (-4 * 2 + x * 2) + 17 -31 + 7x = (-8 + 2x) + 17 Reorder the terms: -31 + 7x = -8 + 17 + 2x Combine like terms: -8 + 17 = 9 -31 + 7x = 9 + 2x Solving -31 + 7x = 9 + 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. -31 + 7x + -2x = 9 + 2x + -2x Combine like terms: 7x + -2x = 5x -31 + 5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 5x = 9 + 0 -31 + 5x = 9 Add '31' to each side of the equation. -31 + 31 + 5x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 9 + 31 5x = 9 + 31 Combine like terms: 9 + 31 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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