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Simplifying 7x + 3 + 8x + -10 = 3(9x + 3) + -4x Reorder the terms: 3 + -10 + 7x + 8x = 3(9x + 3) + -4x Combine like terms: 3 + -10 = -7 -7 + 7x + 8x = 3(9x + 3) + -4x Combine like terms: 7x + 8x = 15x -7 + 15x = 3(9x + 3) + -4x Reorder the terms: -7 + 15x = 3(3 + 9x) + -4x -7 + 15x = (3 * 3 + 9x * 3) + -4x -7 + 15x = (9 + 27x) + -4x Combine like terms: 27x + -4x = 23x -7 + 15x = 9 + 23x Solving -7 + 15x = 9 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -7 + 15x + -23x = 9 + 23x + -23x Combine like terms: 15x + -23x = -8x -7 + -8x = 9 + 23x + -23x Combine like terms: 23x + -23x = 0 -7 + -8x = 9 + 0 -7 + -8x = 9 Add '7' to each side of the equation. -7 + 7 + -8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 9 + 7 -8x = 9 + 7 Combine like terms: 9 + 7 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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