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Simplifying 2x + 4 = 3x + 3(x + -2) + -4 Reorder the terms: 4 + 2x = 3x + 3(x + -2) + -4 Reorder the terms: 4 + 2x = 3x + 3(-2 + x) + -4 4 + 2x = 3x + (-2 * 3 + x * 3) + -4 4 + 2x = 3x + (-6 + 3x) + -4 Reorder the terms: 4 + 2x = -6 + -4 + 3x + 3x Combine like terms: -6 + -4 = -10 4 + 2x = -10 + 3x + 3x Combine like terms: 3x + 3x = 6x 4 + 2x = -10 + 6x Solving 4 + 2x = -10 + 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. 4 + 2x + -6x = -10 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = -10 + 0 4 + -4x = -10 Add '-4' to each side of the equation. 4 + -4 + -4x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -10 + -4 -4x = -10 + -4 Combine like terms: -10 + -4 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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