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Simplifying 7x + 3(x + -4) = 11x + -2(x + -4) + 3 Reorder the terms: 7x + 3(-4 + x) = 11x + -2(x + -4) + 3 7x + (-4 * 3 + x * 3) = 11x + -2(x + -4) + 3 7x + (-12 + 3x) = 11x + -2(x + -4) + 3 Reorder the terms: -12 + 7x + 3x = 11x + -2(x + -4) + 3 Combine like terms: 7x + 3x = 10x -12 + 10x = 11x + -2(x + -4) + 3 Reorder the terms: -12 + 10x = 11x + -2(-4 + x) + 3 -12 + 10x = 11x + (-4 * -2 + x * -2) + 3 -12 + 10x = 11x + (8 + -2x) + 3 Reorder the terms: -12 + 10x = 8 + 3 + 11x + -2x Combine like terms: 8 + 3 = 11 -12 + 10x = 11 + 11x + -2x Combine like terms: 11x + -2x = 9x -12 + 10x = 11 + 9x Solving -12 + 10x = 11 + 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. -12 + 10x + -9x = 11 + 9x + -9x Combine like terms: 10x + -9x = 1x -12 + 1x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 1x = 11 + 0 -12 + 1x = 11 Add '12' to each side of the equation. -12 + 12 + 1x = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 11 + 12 1x = 11 + 12 Combine like terms: 11 + 12 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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