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Simplifying 6(2 + -1x) + 4x = 5(x + 3) (2 * 6 + -1x * 6) + 4x = 5(x + 3) (12 + -6x) + 4x = 5(x + 3) Combine like terms: -6x + 4x = -2x 12 + -2x = 5(x + 3) Reorder the terms: 12 + -2x = 5(3 + x) 12 + -2x = (3 * 5 + x * 5) 12 + -2x = (15 + 5x) Solving 12 + -2x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -2x + -5x = 15 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = 15 + 0 12 + -7x = 15 Add '-12' to each side of the equation. 12 + -12 + -7x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 15 + -12 -7x = 15 + -12 Combine like terms: 15 + -12 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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