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