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Simplifying 44 = 5(x + -7) + -3(4 + 6x) Reorder the terms: 44 = 5(-7 + x) + -3(4 + 6x) 44 = (-7 * 5 + x * 5) + -3(4 + 6x) 44 = (-35 + 5x) + -3(4 + 6x) 44 = -35 + 5x + (4 * -3 + 6x * -3) 44 = -35 + 5x + (-12 + -18x) Reorder the terms: 44 = -35 + -12 + 5x + -18x Combine like terms: -35 + -12 = -47 44 = -47 + 5x + -18x Combine like terms: 5x + -18x = -13x 44 = -47 + -13x Solving 44 = -47 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 44 + 13x = -47 + -13x + 13x Combine like terms: -13x + 13x = 0 44 + 13x = -47 + 0 44 + 13x = -47 Add '-44' to each side of the equation. 44 + -44 + 13x = -47 + -44 Combine like terms: 44 + -44 = 0 0 + 13x = -47 + -44 13x = -47 + -44 Combine like terms: -47 + -44 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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