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Simplifying 7(x + -10) = 13 + -2(2x + 3) Reorder the terms: 7(-10 + x) = 13 + -2(2x + 3) (-10 * 7 + x * 7) = 13 + -2(2x + 3) (-70 + 7x) = 13 + -2(2x + 3) Reorder the terms: -70 + 7x = 13 + -2(3 + 2x) -70 + 7x = 13 + (3 * -2 + 2x * -2) -70 + 7x = 13 + (-6 + -4x) Combine like terms: 13 + -6 = 7 -70 + 7x = 7 + -4x Solving -70 + 7x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -70 + 7x + 4x = 7 + -4x + 4x Combine like terms: 7x + 4x = 11x -70 + 11x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -70 + 11x = 7 + 0 -70 + 11x = 7 Add '70' to each side of the equation. -70 + 70 + 11x = 7 + 70 Combine like terms: -70 + 70 = 0 0 + 11x = 7 + 70 11x = 7 + 70 Combine like terms: 7 + 70 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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