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Simplifying 5(7 + -2x) + 13 = 9x + 48 (7 * 5 + -2x * 5) + 13 = 9x + 48 (35 + -10x) + 13 = 9x + 48 Reorder the terms: 35 + 13 + -10x = 9x + 48 Combine like terms: 35 + 13 = 48 48 + -10x = 9x + 48 Reorder the terms: 48 + -10x = 48 + 9x Add '-48' to each side of the equation. 48 + -48 + -10x = 48 + -48 + 9x Combine like terms: 48 + -48 = 0 0 + -10x = 48 + -48 + 9x -10x = 48 + -48 + 9x Combine like terms: 48 + -48 = 0 -10x = 0 + 9x -10x = 9x Solving -10x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10x + -9x = 9x + -9x Combine like terms: -10x + -9x = -19x -19x = 9x + -9x Combine like terms: 9x + -9x = 0 -19x = 0 Divide each side by '-19'. x = 0 Simplifying x = 0
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