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Simplifying 5(x + -2) + 18 = 6 + 4(3x + -6) Reorder the terms: 5(-2 + x) + 18 = 6 + 4(3x + -6) (-2 * 5 + x * 5) + 18 = 6 + 4(3x + -6) (-10 + 5x) + 18 = 6 + 4(3x + -6) Reorder the terms: -10 + 18 + 5x = 6 + 4(3x + -6) Combine like terms: -10 + 18 = 8 8 + 5x = 6 + 4(3x + -6) Reorder the terms: 8 + 5x = 6 + 4(-6 + 3x) 8 + 5x = 6 + (-6 * 4 + 3x * 4) 8 + 5x = 6 + (-24 + 12x) Combine like terms: 6 + -24 = -18 8 + 5x = -18 + 12x Solving 8 + 5x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 5x + -12x = -18 + 12x + -12x Combine like terms: 5x + -12x = -7x 8 + -7x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -7x = -18 + 0 8 + -7x = -18 Add '-8' to each side of the equation. 8 + -8 + -7x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -18 + -8 -7x = -18 + -8 Combine like terms: -18 + -8 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714
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