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Simplifying 2x + 4(x + -3) = 5(x + 3) + -18 Reorder the terms: 2x + 4(-3 + x) = 5(x + 3) + -18 2x + (-3 * 4 + x * 4) = 5(x + 3) + -18 2x + (-12 + 4x) = 5(x + 3) + -18 Reorder the terms: -12 + 2x + 4x = 5(x + 3) + -18 Combine like terms: 2x + 4x = 6x -12 + 6x = 5(x + 3) + -18 Reorder the terms: -12 + 6x = 5(3 + x) + -18 -12 + 6x = (3 * 5 + x * 5) + -18 -12 + 6x = (15 + 5x) + -18 Reorder the terms: -12 + 6x = 15 + -18 + 5x Combine like terms: 15 + -18 = -3 -12 + 6x = -3 + 5x Solving -12 + 6x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -3 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -3 + 0 -12 + 1x = -3 Add '12' to each side of the equation. -12 + 12 + 1x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -3 + 12 1x = -3 + 12 Combine like terms: -3 + 12 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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