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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 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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