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Simplifying -3(-2x + 7) + -5x = 7(x + -5) + -1 Reorder the terms: -3(7 + -2x) + -5x = 7(x + -5) + -1 (7 * -3 + -2x * -3) + -5x = 7(x + -5) + -1 (-21 + 6x) + -5x = 7(x + -5) + -1 Combine like terms: 6x + -5x = 1x -21 + 1x = 7(x + -5) + -1 Reorder the terms: -21 + 1x = 7(-5 + x) + -1 -21 + 1x = (-5 * 7 + x * 7) + -1 -21 + 1x = (-35 + 7x) + -1 Reorder the terms: -21 + 1x = -35 + -1 + 7x Combine like terms: -35 + -1 = -36 -21 + 1x = -36 + 7x Solving -21 + 1x = -36 + 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. -21 + 1x + -7x = -36 + 7x + -7x Combine like terms: 1x + -7x = -6x -21 + -6x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -6x = -36 + 0 -21 + -6x = -36 Add '21' to each side of the equation. -21 + 21 + -6x = -36 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -36 + 21 -6x = -36 + 21 Combine like terms: -36 + 21 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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