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Simplifying 7(x + -3) + 5 = 4(5 + -1x) + -3x Reorder the terms: 7(-3 + x) + 5 = 4(5 + -1x) + -3x (-3 * 7 + x * 7) + 5 = 4(5 + -1x) + -3x (-21 + 7x) + 5 = 4(5 + -1x) + -3x Reorder the terms: -21 + 5 + 7x = 4(5 + -1x) + -3x Combine like terms: -21 + 5 = -16 -16 + 7x = 4(5 + -1x) + -3x -16 + 7x = (5 * 4 + -1x * 4) + -3x -16 + 7x = (20 + -4x) + -3x Combine like terms: -4x + -3x = -7x -16 + 7x = 20 + -7x Solving -16 + 7x = 20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + 7x + 7x = 20 + -7x + 7x Combine like terms: 7x + 7x = 14x -16 + 14x = 20 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 14x = 20 + 0 -16 + 14x = 20 Add '16' to each side of the equation. -16 + 16 + 14x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 14x = 20 + 16 14x = 20 + 16 Combine like terms: 20 + 16 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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