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Simplifying 4x + 3 = 2 + 6(x + -4) Reorder the terms: 3 + 4x = 2 + 6(x + -4) Reorder the terms: 3 + 4x = 2 + 6(-4 + x) 3 + 4x = 2 + (-4 * 6 + x * 6) 3 + 4x = 2 + (-24 + 6x) Combine like terms: 2 + -24 = -22 3 + 4x = -22 + 6x Solving 3 + 4x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 4x + -6x = -22 + 6x + -6x Combine like terms: 4x + -6x = -2x 3 + -2x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -2x = -22 + 0 3 + -2x = -22 Add '-3' to each side of the equation. 3 + -3 + -2x = -22 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -22 + -3 -2x = -22 + -3 Combine like terms: -22 + -3 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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