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Simplifying 1 + -2(x + 3) + 4 = 5(x + -6) + -13 Reorder the terms: 1 + -2(3 + x) + 4 = 5(x + -6) + -13 1 + (3 * -2 + x * -2) + 4 = 5(x + -6) + -13 1 + (-6 + -2x) + 4 = 5(x + -6) + -13 Reorder the terms: 1 + -6 + 4 + -2x = 5(x + -6) + -13 Combine like terms: 1 + -6 = -5 -5 + 4 + -2x = 5(x + -6) + -13 Combine like terms: -5 + 4 = -1 -1 + -2x = 5(x + -6) + -13 Reorder the terms: -1 + -2x = 5(-6 + x) + -13 -1 + -2x = (-6 * 5 + x * 5) + -13 -1 + -2x = (-30 + 5x) + -13 Reorder the terms: -1 + -2x = -30 + -13 + 5x Combine like terms: -30 + -13 = -43 -1 + -2x = -43 + 5x Solving -1 + -2x = -43 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -2x + -5x = -43 + 5x + -5x Combine like terms: -2x + -5x = -7x -1 + -7x = -43 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -7x = -43 + 0 -1 + -7x = -43 Add '1' to each side of the equation. -1 + 1 + -7x = -43 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -43 + 1 -7x = -43 + 1 Combine like terms: -43 + 1 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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