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Simplifying 5(3x + -1) + -1x = 7(x + -3) + 8x Reorder the terms: 5(-1 + 3x) + -1x = 7(x + -3) + 8x (-1 * 5 + 3x * 5) + -1x = 7(x + -3) + 8x (-5 + 15x) + -1x = 7(x + -3) + 8x Combine like terms: 15x + -1x = 14x -5 + 14x = 7(x + -3) + 8x Reorder the terms: -5 + 14x = 7(-3 + x) + 8x -5 + 14x = (-3 * 7 + x * 7) + 8x -5 + 14x = (-21 + 7x) + 8x Combine like terms: 7x + 8x = 15x -5 + 14x = -21 + 15x Solving -5 + 14x = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 14x + -15x = -21 + 15x + -15x Combine like terms: 14x + -15x = -1x -5 + -1x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -1x = -21 + 0 -5 + -1x = -21 Add '5' to each side of the equation. -5 + 5 + -1x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -21 + 5 -1x = -21 + 5 Combine like terms: -21 + 5 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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