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Simplifying 2(x + -3) + -7 = 28 + -5(x + 4) Reorder the terms: 2(-3 + x) + -7 = 28 + -5(x + 4) (-3 * 2 + x * 2) + -7 = 28 + -5(x + 4) (-6 + 2x) + -7 = 28 + -5(x + 4) Reorder the terms: -6 + -7 + 2x = 28 + -5(x + 4) Combine like terms: -6 + -7 = -13 -13 + 2x = 28 + -5(x + 4) Reorder the terms: -13 + 2x = 28 + -5(4 + x) -13 + 2x = 28 + (4 * -5 + x * -5) -13 + 2x = 28 + (-20 + -5x) Combine like terms: 28 + -20 = 8 -13 + 2x = 8 + -5x Solving -13 + 2x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -13 + 2x + 5x = 8 + -5x + 5x Combine like terms: 2x + 5x = 7x -13 + 7x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 7x = 8 + 0 -13 + 7x = 8 Add '13' to each side of the equation. -13 + 13 + 7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 8 + 13 7x = 8 + 13 Combine like terms: 8 + 13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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