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Simplifying 5(x + -3) + 2 = 4(x + 7) + -2x Reorder the terms: 5(-3 + x) + 2 = 4(x + 7) + -2x (-3 * 5 + x * 5) + 2 = 4(x + 7) + -2x (-15 + 5x) + 2 = 4(x + 7) + -2x Reorder the terms: -15 + 2 + 5x = 4(x + 7) + -2x Combine like terms: -15 + 2 = -13 -13 + 5x = 4(x + 7) + -2x Reorder the terms: -13 + 5x = 4(7 + x) + -2x -13 + 5x = (7 * 4 + x * 4) + -2x -13 + 5x = (28 + 4x) + -2x Combine like terms: 4x + -2x = 2x -13 + 5x = 28 + 2x Solving -13 + 5x = 28 + 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. -13 + 5x + -2x = 28 + 2x + -2x Combine like terms: 5x + -2x = 3x -13 + 3x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 3x = 28 + 0 -13 + 3x = 28 Add '13' to each side of the equation. -13 + 13 + 3x = 28 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 28 + 13 3x = 28 + 13 Combine like terms: 28 + 13 = 41 3x = 41 Divide each side by '3'. x = 13.66666667 Simplifying x = 13.66666667
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