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Simplifying 4(x + -3) + -6 = 24 + x Reorder the terms: 4(-3 + x) + -6 = 24 + x (-3 * 4 + x * 4) + -6 = 24 + x (-12 + 4x) + -6 = 24 + x Reorder the terms: -12 + -6 + 4x = 24 + x Combine like terms: -12 + -6 = -18 -18 + 4x = 24 + x Solving -18 + 4x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 4x + -1x = 24 + x + -1x Combine like terms: 4x + -1x = 3x -18 + 3x = 24 + x + -1x Combine like terms: x + -1x = 0 -18 + 3x = 24 + 0 -18 + 3x = 24 Add '18' to each side of the equation. -18 + 18 + 3x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 24 + 18 3x = 24 + 18 Combine like terms: 24 + 18 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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