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Simplifying 4(2x + -7) + 33 = -8(x + -3) + 13x + -16 Reorder the terms: 4(-7 + 2x) + 33 = -8(x + -3) + 13x + -16 (-7 * 4 + 2x * 4) + 33 = -8(x + -3) + 13x + -16 (-28 + 8x) + 33 = -8(x + -3) + 13x + -16 Reorder the terms: -28 + 33 + 8x = -8(x + -3) + 13x + -16 Combine like terms: -28 + 33 = 5 5 + 8x = -8(x + -3) + 13x + -16 Reorder the terms: 5 + 8x = -8(-3 + x) + 13x + -16 5 + 8x = (-3 * -8 + x * -8) + 13x + -16 5 + 8x = (24 + -8x) + 13x + -16 Reorder the terms: 5 + 8x = 24 + -16 + -8x + 13x Combine like terms: 24 + -16 = 8 5 + 8x = 8 + -8x + 13x Combine like terms: -8x + 13x = 5x 5 + 8x = 8 + 5x Solving 5 + 8x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 8x + -5x = 8 + 5x + -5x Combine like terms: 8x + -5x = 3x 5 + 3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 3x = 8 + 0 5 + 3x = 8 Add '-5' to each side of the equation. 5 + -5 + 3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 8 + -5 3x = 8 + -5 Combine like terms: 8 + -5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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