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Simplifying 2(2x + -7) + 33 = -7(x + -5) + 15x + -20 Reorder the terms: 2(-7 + 2x) + 33 = -7(x + -5) + 15x + -20 (-7 * 2 + 2x * 2) + 33 = -7(x + -5) + 15x + -20 (-14 + 4x) + 33 = -7(x + -5) + 15x + -20 Reorder the terms: -14 + 33 + 4x = -7(x + -5) + 15x + -20 Combine like terms: -14 + 33 = 19 19 + 4x = -7(x + -5) + 15x + -20 Reorder the terms: 19 + 4x = -7(-5 + x) + 15x + -20 19 + 4x = (-5 * -7 + x * -7) + 15x + -20 19 + 4x = (35 + -7x) + 15x + -20 Reorder the terms: 19 + 4x = 35 + -20 + -7x + 15x Combine like terms: 35 + -20 = 15 19 + 4x = 15 + -7x + 15x Combine like terms: -7x + 15x = 8x 19 + 4x = 15 + 8x Solving 19 + 4x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 19 + 4x + -8x = 15 + 8x + -8x Combine like terms: 4x + -8x = -4x 19 + -4x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -4x = 15 + 0 19 + -4x = 15 Add '-19' to each side of the equation. 19 + -19 + -4x = 15 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 15 + -19 -4x = 15 + -19 Combine like terms: 15 + -19 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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