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Simplifying 7(x + -4) + -3 = 2(x + 3) Reorder the terms: 7(-4 + x) + -3 = 2(x + 3) (-4 * 7 + x * 7) + -3 = 2(x + 3) (-28 + 7x) + -3 = 2(x + 3) Reorder the terms: -28 + -3 + 7x = 2(x + 3) Combine like terms: -28 + -3 = -31 -31 + 7x = 2(x + 3) Reorder the terms: -31 + 7x = 2(3 + x) -31 + 7x = (3 * 2 + x * 2) -31 + 7x = (6 + 2x) Solving -31 + 7x = 6 + 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 = 6 + 2x + -2x Combine like terms: 7x + -2x = 5x -31 + 5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 5x = 6 + 0 -31 + 5x = 6 Add '31' to each side of the equation. -31 + 31 + 5x = 6 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 6 + 31 5x = 6 + 31 Combine like terms: 6 + 31 = 37 5x = 37 Divide each side by '5'. x = 7.4 Simplifying x = 7.4
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