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Simplifying 2(x + -4) + 6 = 5x + -3 + 2x Reorder the terms: 2(-4 + x) + 6 = 5x + -3 + 2x (-4 * 2 + x * 2) + 6 = 5x + -3 + 2x (-8 + 2x) + 6 = 5x + -3 + 2x Reorder the terms: -8 + 6 + 2x = 5x + -3 + 2x Combine like terms: -8 + 6 = -2 -2 + 2x = 5x + -3 + 2x Reorder the terms: -2 + 2x = -3 + 5x + 2x Combine like terms: 5x + 2x = 7x -2 + 2x = -3 + 7x Solving -2 + 2x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 2x + -7x = -3 + 7x + -7x Combine like terms: 2x + -7x = -5x -2 + -5x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -5x = -3 + 0 -2 + -5x = -3 Add '2' to each side of the equation. -2 + 2 + -5x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -3 + 2 -5x = -3 + 2 Combine like terms: -3 + 2 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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