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Simplifying 6x + 18 + -5(3x + 2) = 4x + -18 Reorder the terms: 6x + 18 + -5(2 + 3x) = 4x + -18 6x + 18 + (2 * -5 + 3x * -5) = 4x + -18 6x + 18 + (-10 + -15x) = 4x + -18 Reorder the terms: 18 + -10 + 6x + -15x = 4x + -18 Combine like terms: 18 + -10 = 8 8 + 6x + -15x = 4x + -18 Combine like terms: 6x + -15x = -9x 8 + -9x = 4x + -18 Reorder the terms: 8 + -9x = -18 + 4x Solving 8 + -9x = -18 + 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. 8 + -9x + -4x = -18 + 4x + -4x Combine like terms: -9x + -4x = -13x 8 + -13x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -13x = -18 + 0 8 + -13x = -18 Add '-8' to each side of the equation. 8 + -8 + -13x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -18 + -8 -13x = -18 + -8 Combine like terms: -18 + -8 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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