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Simplifying 4x + 18 = 7x + -5 + 12x + -7 Reorder the terms: 18 + 4x = 7x + -5 + 12x + -7 Reorder the terms: 18 + 4x = -5 + -7 + 7x + 12x Combine like terms: -5 + -7 = -12 18 + 4x = -12 + 7x + 12x Combine like terms: 7x + 12x = 19x 18 + 4x = -12 + 19x Solving 18 + 4x = -12 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 18 + 4x + -19x = -12 + 19x + -19x Combine like terms: 4x + -19x = -15x 18 + -15x = -12 + 19x + -19x Combine like terms: 19x + -19x = 0 18 + -15x = -12 + 0 18 + -15x = -12 Add '-18' to each side of the equation. 18 + -18 + -15x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = -12 + -18 -15x = -12 + -18 Combine like terms: -12 + -18 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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