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Simplifying 2x * 3 + 3 = 4x * 3 + -7 Reorder the terms for easier multiplication: 2 * 3x + 3 = 4x * 3 + -7 Multiply 2 * 3 6x + 3 = 4x * 3 + -7 Reorder the terms: 3 + 6x = 4x * 3 + -7 Reorder the terms for easier multiplication: 3 + 6x = 4 * 3x + -7 Multiply 4 * 3 3 + 6x = 12x + -7 Reorder the terms: 3 + 6x = -7 + 12x Solving 3 + 6x = -7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 6x + -12x = -7 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = -7 + 0 3 + -6x = -7 Add '-3' to each side of the equation. 3 + -3 + -6x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -7 + -3 -6x = -7 + -3 Combine like terms: -7 + -3 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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