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Simplifying 5x + -2 = 3(4x + -6) Reorder the terms: -2 + 5x = 3(4x + -6) Reorder the terms: -2 + 5x = 3(-6 + 4x) -2 + 5x = (-6 * 3 + 4x * 3) -2 + 5x = (-18 + 12x) Solving -2 + 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. -2 + 5x + -12x = -18 + 12x + -12x Combine like terms: 5x + -12x = -7x -2 + -7x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -7x = -18 + 0 -2 + -7x = -18 Add '2' to each side of the equation. -2 + 2 + -7x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -18 + 2 -7x = -18 + 2 Combine like terms: -18 + 2 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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