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Simplifying 5x + -3(2x + -7) = 2x + 33 Reorder the terms: 5x + -3(-7 + 2x) = 2x + 33 5x + (-7 * -3 + 2x * -3) = 2x + 33 5x + (21 + -6x) = 2x + 33 Reorder the terms: 21 + 5x + -6x = 2x + 33 Combine like terms: 5x + -6x = -1x 21 + -1x = 2x + 33 Reorder the terms: 21 + -1x = 33 + 2x Solving 21 + -1x = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -1x + -2x = 33 + 2x + -2x Combine like terms: -1x + -2x = -3x 21 + -3x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -3x = 33 + 0 21 + -3x = 33 Add '-21' to each side of the equation. 21 + -21 + -3x = 33 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 33 + -21 -3x = 33 + -21 Combine like terms: 33 + -21 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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