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Simplifying 4x + -6 + 2x = 6(3x + -2) + 3 Reorder the terms: -6 + 4x + 2x = 6(3x + -2) + 3 Combine like terms: 4x + 2x = 6x -6 + 6x = 6(3x + -2) + 3 Reorder the terms: -6 + 6x = 6(-2 + 3x) + 3 -6 + 6x = (-2 * 6 + 3x * 6) + 3 -6 + 6x = (-12 + 18x) + 3 Reorder the terms: -6 + 6x = -12 + 3 + 18x Combine like terms: -12 + 3 = -9 -6 + 6x = -9 + 18x Solving -6 + 6x = -9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + 6x + -18x = -9 + 18x + -18x Combine like terms: 6x + -18x = -12x -6 + -12x = -9 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -12x = -9 + 0 -6 + -12x = -9 Add '6' to each side of the equation. -6 + 6 + -12x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -9 + 6 -12x = -9 + 6 Combine like terms: -9 + 6 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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