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Simplifying -7(x + 3) = -4(6 + 3x) + 19x Reorder the terms: -7(3 + x) = -4(6 + 3x) + 19x (3 * -7 + x * -7) = -4(6 + 3x) + 19x (-21 + -7x) = -4(6 + 3x) + 19x -21 + -7x = (6 * -4 + 3x * -4) + 19x -21 + -7x = (-24 + -12x) + 19x Combine like terms: -12x + 19x = 7x -21 + -7x = -24 + 7x Solving -21 + -7x = -24 + 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. -21 + -7x + -7x = -24 + 7x + -7x Combine like terms: -7x + -7x = -14x -21 + -14x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -14x = -24 + 0 -21 + -14x = -24 Add '21' to each side of the equation. -21 + 21 + -14x = -24 + 21 Combine like terms: -21 + 21 = 0 0 + -14x = -24 + 21 -14x = -24 + 21 Combine like terms: -24 + 21 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143
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