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Simplifying 7(x + -4) = 5(2x + -6) + -13 Reorder the terms: 7(-4 + x) = 5(2x + -6) + -13 (-4 * 7 + x * 7) = 5(2x + -6) + -13 (-28 + 7x) = 5(2x + -6) + -13 Reorder the terms: -28 + 7x = 5(-6 + 2x) + -13 -28 + 7x = (-6 * 5 + 2x * 5) + -13 -28 + 7x = (-30 + 10x) + -13 Reorder the terms: -28 + 7x = -30 + -13 + 10x Combine like terms: -30 + -13 = -43 -28 + 7x = -43 + 10x Solving -28 + 7x = -43 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28 + 7x + -10x = -43 + 10x + -10x Combine like terms: 7x + -10x = -3x -28 + -3x = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 -28 + -3x = -43 + 0 -28 + -3x = -43 Add '28' to each side of the equation. -28 + 28 + -3x = -43 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = -43 + 28 -3x = -43 + 28 Combine like terms: -43 + 28 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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