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Simplifying 3x + 5 = 2(x + -3) + 4 Reorder the terms: 5 + 3x = 2(x + -3) + 4 Reorder the terms: 5 + 3x = 2(-3 + x) + 4 5 + 3x = (-3 * 2 + x * 2) + 4 5 + 3x = (-6 + 2x) + 4 Reorder the terms: 5 + 3x = -6 + 4 + 2x Combine like terms: -6 + 4 = -2 5 + 3x = -2 + 2x Solving 5 + 3x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = -2 + 0 5 + 1x = -2 Add '-5' to each side of the equation. 5 + -5 + 1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -2 + -5 1x = -2 + -5 Combine like terms: -2 + -5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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