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Simplifying 4(x + -9) + -7 = 15x + -109 Reorder the terms: 4(-9 + x) + -7 = 15x + -109 (-9 * 4 + x * 4) + -7 = 15x + -109 (-36 + 4x) + -7 = 15x + -109 Reorder the terms: -36 + -7 + 4x = 15x + -109 Combine like terms: -36 + -7 = -43 -43 + 4x = 15x + -109 Reorder the terms: -43 + 4x = -109 + 15x Solving -43 + 4x = -109 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -43 + 4x + -15x = -109 + 15x + -15x Combine like terms: 4x + -15x = -11x -43 + -11x = -109 + 15x + -15x Combine like terms: 15x + -15x = 0 -43 + -11x = -109 + 0 -43 + -11x = -109 Add '43' to each side of the equation. -43 + 43 + -11x = -109 + 43 Combine like terms: -43 + 43 = 0 0 + -11x = -109 + 43 -11x = -109 + 43 Combine like terms: -109 + 43 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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