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Simplifying 2(x + -3) + 3x = 6(x + -2) Reorder the terms: 2(-3 + x) + 3x = 6(x + -2) (-3 * 2 + x * 2) + 3x = 6(x + -2) (-6 + 2x) + 3x = 6(x + -2) Combine like terms: 2x + 3x = 5x -6 + 5x = 6(x + -2) Reorder the terms: -6 + 5x = 6(-2 + x) -6 + 5x = (-2 * 6 + x * 6) -6 + 5x = (-12 + 6x) Solving -6 + 5x = -12 + 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. -6 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = -12 + 0 -6 + -1x = -12 Add '6' to each side of the equation. -6 + 6 + -1x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -12 + 6 -1x = -12 + 6 Combine like terms: -12 + 6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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