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Simplifying 18 + -5x = 10x + -3(3x + 4) Reorder the terms: 18 + -5x = 10x + -3(4 + 3x) 18 + -5x = 10x + (4 * -3 + 3x * -3) 18 + -5x = 10x + (-12 + -9x) Reorder the terms: 18 + -5x = -12 + 10x + -9x Combine like terms: 10x + -9x = 1x 18 + -5x = -12 + 1x Solving 18 + -5x = -12 + 1x 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 + -5x + -1x = -12 + 1x + -1x Combine like terms: -5x + -1x = -6x 18 + -6x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 18 + -6x = -12 + 0 18 + -6x = -12 Add '-18' to each side of the equation. 18 + -18 + -6x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -12 + -18 -6x = -12 + -18 Combine like terms: -12 + -18 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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