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Simplifying 7x + -19 = -8(x + -7) Reorder the terms: -19 + 7x = -8(x + -7) Reorder the terms: -19 + 7x = -8(-7 + x) -19 + 7x = (-7 * -8 + x * -8) -19 + 7x = (56 + -8x) Solving -19 + 7x = 56 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -19 + 7x + 8x = 56 + -8x + 8x Combine like terms: 7x + 8x = 15x -19 + 15x = 56 + -8x + 8x Combine like terms: -8x + 8x = 0 -19 + 15x = 56 + 0 -19 + 15x = 56 Add '19' to each side of the equation. -19 + 19 + 15x = 56 + 19 Combine like terms: -19 + 19 = 0 0 + 15x = 56 + 19 15x = 56 + 19 Combine like terms: 56 + 19 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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