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Simplifying 3(x + -7) + -4(4x + 3) = x + -33 Reorder the terms: 3(-7 + x) + -4(4x + 3) = x + -33 (-7 * 3 + x * 3) + -4(4x + 3) = x + -33 (-21 + 3x) + -4(4x + 3) = x + -33 Reorder the terms: -21 + 3x + -4(3 + 4x) = x + -33 -21 + 3x + (3 * -4 + 4x * -4) = x + -33 -21 + 3x + (-12 + -16x) = x + -33 Reorder the terms: -21 + -12 + 3x + -16x = x + -33 Combine like terms: -21 + -12 = -33 -33 + 3x + -16x = x + -33 Combine like terms: 3x + -16x = -13x -33 + -13x = x + -33 Reorder the terms: -33 + -13x = -33 + x Add '33' to each side of the equation. -33 + 33 + -13x = -33 + 33 + x Combine like terms: -33 + 33 = 0 0 + -13x = -33 + 33 + x -13x = -33 + 33 + x Combine like terms: -33 + 33 = 0 -13x = 0 + x -13x = x Solving -13x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13x + -1x = x + -1x Combine like terms: -13x + -1x = -14x -14x = x + -1x Combine like terms: x + -1x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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