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Simplifying 15x + -36 = 9x + 14(10 + 13x) Reorder the terms: -36 + 15x = 9x + 14(10 + 13x) -36 + 15x = 9x + (10 * 14 + 13x * 14) -36 + 15x = 9x + (140 + 182x) Reorder the terms: -36 + 15x = 140 + 9x + 182x Combine like terms: 9x + 182x = 191x -36 + 15x = 140 + 191x Solving -36 + 15x = 140 + 191x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-191x' to each side of the equation. -36 + 15x + -191x = 140 + 191x + -191x Combine like terms: 15x + -191x = -176x -36 + -176x = 140 + 191x + -191x Combine like terms: 191x + -191x = 0 -36 + -176x = 140 + 0 -36 + -176x = 140 Add '36' to each side of the equation. -36 + 36 + -176x = 140 + 36 Combine like terms: -36 + 36 = 0 0 + -176x = 140 + 36 -176x = 140 + 36 Combine like terms: 140 + 36 = 176 -176x = 176 Divide each side by '-176'. x = -1 Simplifying x = -1
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