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Simplifying 4x + -11(2x + -3) + 15(x + 7) = 0 Reorder the terms: 4x + -11(-3 + 2x) + 15(x + 7) = 0 4x + (-3 * -11 + 2x * -11) + 15(x + 7) = 0 4x + (33 + -22x) + 15(x + 7) = 0 Reorder the terms: 4x + 33 + -22x + 15(7 + x) = 0 4x + 33 + -22x + (7 * 15 + x * 15) = 0 4x + 33 + -22x + (105 + 15x) = 0 Reorder the terms: 33 + 105 + 4x + -22x + 15x = 0 Combine like terms: 33 + 105 = 138 138 + 4x + -22x + 15x = 0 Combine like terms: 4x + -22x = -18x 138 + -18x + 15x = 0 Combine like terms: -18x + 15x = -3x 138 + -3x = 0 Solving 138 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + -3x = 0 + -138 Combine like terms: 138 + -138 = 0 0 + -3x = 0 + -138 -3x = 0 + -138 Combine like terms: 0 + -138 = -138 -3x = -138 Divide each side by '-3'. x = 46 Simplifying x = 46
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