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Simplifying 4(x + 3) + -18 = 3(x + 7) Reorder the terms: 4(3 + x) + -18 = 3(x + 7) (3 * 4 + x * 4) + -18 = 3(x + 7) (12 + 4x) + -18 = 3(x + 7) Reorder the terms: 12 + -18 + 4x = 3(x + 7) Combine like terms: 12 + -18 = -6 -6 + 4x = 3(x + 7) Reorder the terms: -6 + 4x = 3(7 + x) -6 + 4x = (7 * 3 + x * 3) -6 + 4x = (21 + 3x) Solving -6 + 4x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 4x + -3x = 21 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = 21 + 0 -6 + 1x = 21 Add '6' to each side of the equation. -6 + 6 + 1x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 21 + 6 1x = 21 + 6 Combine like terms: 21 + 6 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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