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Simplifying 3(3x + -7) = 40 + -4(x + 3) Reorder the terms: 3(-7 + 3x) = 40 + -4(x + 3) (-7 * 3 + 3x * 3) = 40 + -4(x + 3) (-21 + 9x) = 40 + -4(x + 3) Reorder the terms: -21 + 9x = 40 + -4(3 + x) -21 + 9x = 40 + (3 * -4 + x * -4) -21 + 9x = 40 + (-12 + -4x) Combine like terms: 40 + -12 = 28 -21 + 9x = 28 + -4x Solving -21 + 9x = 28 + -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 + 9x + 4x = 28 + -4x + 4x Combine like terms: 9x + 4x = 13x -21 + 13x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 13x = 28 + 0 -21 + 13x = 28 Add '21' to each side of the equation. -21 + 21 + 13x = 28 + 21 Combine like terms: -21 + 21 = 0 0 + 13x = 28 + 21 13x = 28 + 21 Combine like terms: 28 + 21 = 49 13x = 49 Divide each side by '13'. x = 3.769230769 Simplifying x = 3.769230769
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