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Simplifying 3x + 2 = x + -5 + 6x + -23 Reorder the terms: 2 + 3x = x + -5 + 6x + -23 Reorder the terms: 2 + 3x = -5 + -23 + x + 6x Combine like terms: -5 + -23 = -28 2 + 3x = -28 + x + 6x Combine like terms: x + 6x = 7x 2 + 3x = -28 + 7x Solving 2 + 3x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 3x + -7x = -28 + 7x + -7x Combine like terms: 3x + -7x = -4x 2 + -4x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -4x = -28 + 0 2 + -4x = -28 Add '-2' to each side of the equation. 2 + -2 + -4x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -28 + -2 -4x = -28 + -2 Combine like terms: -28 + -2 = -30 -4x = -30 Divide each side by '-4'. x = 7.5 Simplifying x = 7.5
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