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Simplifying -8(x + 7) + -1(4x + -3) = -13x Reorder the terms: -8(7 + x) + -1(4x + -3) = -13x (7 * -8 + x * -8) + -1(4x + -3) = -13x (-56 + -8x) + -1(4x + -3) = -13x Reorder the terms: -56 + -8x + -1(-3 + 4x) = -13x -56 + -8x + (-3 * -1 + 4x * -1) = -13x -56 + -8x + (3 + -4x) = -13x Reorder the terms: -56 + 3 + -8x + -4x = -13x Combine like terms: -56 + 3 = -53 -53 + -8x + -4x = -13x Combine like terms: -8x + -4x = -12x -53 + -12x = -13x Solving -53 + -12x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -53 + -12x + 13x = -13x + 13x Combine like terms: -12x + 13x = 1x -53 + 1x = -13x + 13x Combine like terms: -13x + 13x = 0 -53 + 1x = 0 Add '53' to each side of the equation. -53 + 53 + 1x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 1x = 0 + 53 1x = 0 + 53 Combine like terms: 0 + 53 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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