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Simplifying 10x + -3(x + 4) = 4x + 9 Reorder the terms: 10x + -3(4 + x) = 4x + 9 10x + (4 * -3 + x * -3) = 4x + 9 10x + (-12 + -3x) = 4x + 9 Reorder the terms: -12 + 10x + -3x = 4x + 9 Combine like terms: 10x + -3x = 7x -12 + 7x = 4x + 9 Reorder the terms: -12 + 7x = 9 + 4x Solving -12 + 7x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 7x + -4x = 9 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = 9 + 0 -12 + 3x = 9 Add '12' to each side of the equation. -12 + 12 + 3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 9 + 12 3x = 9 + 12 Combine like terms: 9 + 12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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