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Simplifying 19x + -13 = 10(x + 5) Reorder the terms: -13 + 19x = 10(x + 5) Reorder the terms: -13 + 19x = 10(5 + x) -13 + 19x = (5 * 10 + x * 10) -13 + 19x = (50 + 10x) Solving -13 + 19x = 50 + 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. -13 + 19x + -10x = 50 + 10x + -10x Combine like terms: 19x + -10x = 9x -13 + 9x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 9x = 50 + 0 -13 + 9x = 50 Add '13' to each side of the equation. -13 + 13 + 9x = 50 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 50 + 13 9x = 50 + 13 Combine like terms: 50 + 13 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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