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Simplifying 8(x + -5) + 7(-4x + -1) = -21(x + 1) + -8 Reorder the terms: 8(-5 + x) + 7(-4x + -1) = -21(x + 1) + -8 (-5 * 8 + x * 8) + 7(-4x + -1) = -21(x + 1) + -8 (-40 + 8x) + 7(-4x + -1) = -21(x + 1) + -8 Reorder the terms: -40 + 8x + 7(-1 + -4x) = -21(x + 1) + -8 -40 + 8x + (-1 * 7 + -4x * 7) = -21(x + 1) + -8 -40 + 8x + (-7 + -28x) = -21(x + 1) + -8 Reorder the terms: -40 + -7 + 8x + -28x = -21(x + 1) + -8 Combine like terms: -40 + -7 = -47 -47 + 8x + -28x = -21(x + 1) + -8 Combine like terms: 8x + -28x = -20x -47 + -20x = -21(x + 1) + -8 Reorder the terms: -47 + -20x = -21(1 + x) + -8 -47 + -20x = (1 * -21 + x * -21) + -8 -47 + -20x = (-21 + -21x) + -8 Reorder the terms: -47 + -20x = -21 + -8 + -21x Combine like terms: -21 + -8 = -29 -47 + -20x = -29 + -21x Solving -47 + -20x = -29 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -47 + -20x + 21x = -29 + -21x + 21x Combine like terms: -20x + 21x = 1x -47 + 1x = -29 + -21x + 21x Combine like terms: -21x + 21x = 0 -47 + 1x = -29 + 0 -47 + 1x = -29 Add '47' to each side of the equation. -47 + 47 + 1x = -29 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = -29 + 47 1x = -29 + 47 Combine like terms: -29 + 47 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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