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Simplifying 7(x + -12) = 13 + 5(3x + -4) Reorder the terms: 7(-12 + x) = 13 + 5(3x + -4) (-12 * 7 + x * 7) = 13 + 5(3x + -4) (-84 + 7x) = 13 + 5(3x + -4) Reorder the terms: -84 + 7x = 13 + 5(-4 + 3x) -84 + 7x = 13 + (-4 * 5 + 3x * 5) -84 + 7x = 13 + (-20 + 15x) Combine like terms: 13 + -20 = -7 -84 + 7x = -7 + 15x Solving -84 + 7x = -7 + 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. -84 + 7x + -15x = -7 + 15x + -15x Combine like terms: 7x + -15x = -8x -84 + -8x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 -84 + -8x = -7 + 0 -84 + -8x = -7 Add '84' to each side of the equation. -84 + 84 + -8x = -7 + 84 Combine like terms: -84 + 84 = 0 0 + -8x = -7 + 84 -8x = -7 + 84 Combine like terms: -7 + 84 = 77 -8x = 77 Divide each side by '-8'. x = -9.625 Simplifying x = -9.625
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