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Simplifying 15x + x + -4(x + 9) = 9 + x + -2(x + 3) Reorder the terms: 15x + x + -4(9 + x) = 9 + x + -2(x + 3) 15x + x + (9 * -4 + x * -4) = 9 + x + -2(x + 3) 15x + x + (-36 + -4x) = 9 + x + -2(x + 3) Reorder the terms: -36 + 15x + x + -4x = 9 + x + -2(x + 3) Combine like terms: 15x + x = 16x -36 + 16x + -4x = 9 + x + -2(x + 3) Combine like terms: 16x + -4x = 12x -36 + 12x = 9 + x + -2(x + 3) Reorder the terms: -36 + 12x = 9 + x + -2(3 + x) -36 + 12x = 9 + x + (3 * -2 + x * -2) -36 + 12x = 9 + x + (-6 + -2x) Reorder the terms: -36 + 12x = 9 + -6 + x + -2x Combine like terms: 9 + -6 = 3 -36 + 12x = 3 + x + -2x Combine like terms: x + -2x = -1x -36 + 12x = 3 + -1x Solving -36 + 12x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -36 + 12x + x = 3 + -1x + x Combine like terms: 12x + x = 13x -36 + 13x = 3 + -1x + x Combine like terms: -1x + x = 0 -36 + 13x = 3 + 0 -36 + 13x = 3 Add '36' to each side of the equation. -36 + 36 + 13x = 3 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 3 + 36 13x = 3 + 36 Combine like terms: 3 + 36 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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