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Simplifying (33x + -7) + -8(4x + 1) = -3 Reorder the terms: (-7 + 33x) + -8(4x + 1) = -3 Remove parenthesis around (-7 + 33x) -7 + 33x + -8(4x + 1) = -3 Reorder the terms: -7 + 33x + -8(1 + 4x) = -3 -7 + 33x + (1 * -8 + 4x * -8) = -3 -7 + 33x + (-8 + -32x) = -3 Reorder the terms: -7 + -8 + 33x + -32x = -3 Combine like terms: -7 + -8 = -15 -15 + 33x + -32x = -3 Combine like terms: 33x + -32x = 1x -15 + 1x = -3 Solving -15 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -3 + 15 1x = -3 + 15 Combine like terms: -3 + 15 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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