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Simplifying 6 + -2(x + 3) = 4x + 3(x + -4) + 3 Reorder the terms: 6 + -2(3 + x) = 4x + 3(x + -4) + 3 6 + (3 * -2 + x * -2) = 4x + 3(x + -4) + 3 6 + (-6 + -2x) = 4x + 3(x + -4) + 3 Combine like terms: 6 + -6 = 0 0 + -2x = 4x + 3(x + -4) + 3 -2x = 4x + 3(x + -4) + 3 Reorder the terms: -2x = 4x + 3(-4 + x) + 3 -2x = 4x + (-4 * 3 + x * 3) + 3 -2x = 4x + (-12 + 3x) + 3 Reorder the terms: -2x = -12 + 3 + 4x + 3x Combine like terms: -12 + 3 = -9 -2x = -9 + 4x + 3x Combine like terms: 4x + 3x = 7x -2x = -9 + 7x Solving -2x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2x + -7x = -9 + 7x + -7x Combine like terms: -2x + -7x = -9x -9x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -9x = -9 + 0 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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