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Simplifying 4x + 3(2x + 5) = 6x + -7 Reorder the terms: 4x + 3(5 + 2x) = 6x + -7 4x + (5 * 3 + 2x * 3) = 6x + -7 4x + (15 + 6x) = 6x + -7 Reorder the terms: 15 + 4x + 6x = 6x + -7 Combine like terms: 4x + 6x = 10x 15 + 10x = 6x + -7 Reorder the terms: 15 + 10x = -7 + 6x Solving 15 + 10x = -7 + 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. 15 + 10x + -6x = -7 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = -7 + 0 15 + 4x = -7 Add '-15' to each side of the equation. 15 + -15 + 4x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -7 + -15 4x = -7 + -15 Combine like terms: -7 + -15 = -22 4x = -22 Divide each side by '4'. x = -5.5 Simplifying x = -5.5
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