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Simplifying 4x + 10 + 3x + 12 = 15x + 4 Reorder the terms: 10 + 12 + 4x + 3x = 15x + 4 Combine like terms: 10 + 12 = 22 22 + 4x + 3x = 15x + 4 Combine like terms: 4x + 3x = 7x 22 + 7x = 15x + 4 Reorder the terms: 22 + 7x = 4 + 15x Solving 22 + 7x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 22 + 7x + -15x = 4 + 15x + -15x Combine like terms: 7x + -15x = -8x 22 + -8x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 22 + -8x = 4 + 0 22 + -8x = 4 Add '-22' to each side of the equation. 22 + -22 + -8x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = 4 + -22 -8x = 4 + -22 Combine like terms: 4 + -22 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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