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Simplifying x + 6(x + -3) = 4(x + -6) + -3 Reorder the terms: x + 6(-3 + x) = 4(x + -6) + -3 x + (-3 * 6 + x * 6) = 4(x + -6) + -3 x + (-18 + 6x) = 4(x + -6) + -3 Reorder the terms: -18 + x + 6x = 4(x + -6) + -3 Combine like terms: x + 6x = 7x -18 + 7x = 4(x + -6) + -3 Reorder the terms: -18 + 7x = 4(-6 + x) + -3 -18 + 7x = (-6 * 4 + x * 4) + -3 -18 + 7x = (-24 + 4x) + -3 Reorder the terms: -18 + 7x = -24 + -3 + 4x Combine like terms: -24 + -3 = -27 -18 + 7x = -27 + 4x Solving -18 + 7x = -27 + 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. -18 + 7x + -4x = -27 + 4x + -4x Combine like terms: 7x + -4x = 3x -18 + 3x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 3x = -27 + 0 -18 + 3x = -27 Add '18' to each side of the equation. -18 + 18 + 3x = -27 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -27 + 18 3x = -27 + 18 Combine like terms: -27 + 18 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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