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Simplifying 6 + -5(2x + 3) = 4x + 7 Reorder the terms: 6 + -5(3 + 2x) = 4x + 7 6 + (3 * -5 + 2x * -5) = 4x + 7 6 + (-15 + -10x) = 4x + 7 Combine like terms: 6 + -15 = -9 -9 + -10x = 4x + 7 Reorder the terms: -9 + -10x = 7 + 4x Solving -9 + -10x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + -10x + -4x = 7 + 4x + -4x Combine like terms: -10x + -4x = -14x -9 + -14x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -14x = 7 + 0 -9 + -14x = 7 Add '9' to each side of the equation. -9 + 9 + -14x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -14x = 7 + 9 -14x = 7 + 9 Combine like terms: 7 + 9 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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