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Simplifying 130 = (10x + -30) + (9x + -11) Reorder the terms: 130 = (-30 + 10x) + (9x + -11) Remove parenthesis around (-30 + 10x) 130 = -30 + 10x + (9x + -11) Reorder the terms: 130 = -30 + 10x + (-11 + 9x) Remove parenthesis around (-11 + 9x) 130 = -30 + 10x + -11 + 9x Reorder the terms: 130 = -30 + -11 + 10x + 9x Combine like terms: -30 + -11 = -41 130 = -41 + 10x + 9x Combine like terms: 10x + 9x = 19x 130 = -41 + 19x Solving 130 = -41 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 130 + -19x = -41 + 19x + -19x Combine like terms: 19x + -19x = 0 130 + -19x = -41 + 0 130 + -19x = -41 Add '-130' to each side of the equation. 130 + -130 + -19x = -41 + -130 Combine like terms: 130 + -130 = 0 0 + -19x = -41 + -130 -19x = -41 + -130 Combine like terms: -41 + -130 = -171 -19x = -171 Divide each side by '-19'. x = 9 Simplifying x = 9
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