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Simplifying 4x + 6(x + -4) + -2 = 2x + 3 Reorder the terms: 4x + 6(-4 + x) + -2 = 2x + 3 4x + (-4 * 6 + x * 6) + -2 = 2x + 3 4x + (-24 + 6x) + -2 = 2x + 3 Reorder the terms: -24 + -2 + 4x + 6x = 2x + 3 Combine like terms: -24 + -2 = -26 -26 + 4x + 6x = 2x + 3 Combine like terms: 4x + 6x = 10x -26 + 10x = 2x + 3 Reorder the terms: -26 + 10x = 3 + 2x Solving -26 + 10x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 10x + -2x = 3 + 2x + -2x Combine like terms: 10x + -2x = 8x -26 + 8x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 8x = 3 + 0 -26 + 8x = 3 Add '26' to each side of the equation. -26 + 26 + 8x = 3 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 3 + 26 8x = 3 + 26 Combine like terms: 3 + 26 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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