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Simplifying -3(x + -7) + 5(2x + -3) = -4x + -18 Reorder the terms: -3(-7 + x) + 5(2x + -3) = -4x + -18 (-7 * -3 + x * -3) + 5(2x + -3) = -4x + -18 (21 + -3x) + 5(2x + -3) = -4x + -18 Reorder the terms: 21 + -3x + 5(-3 + 2x) = -4x + -18 21 + -3x + (-3 * 5 + 2x * 5) = -4x + -18 21 + -3x + (-15 + 10x) = -4x + -18 Reorder the terms: 21 + -15 + -3x + 10x = -4x + -18 Combine like terms: 21 + -15 = 6 6 + -3x + 10x = -4x + -18 Combine like terms: -3x + 10x = 7x 6 + 7x = -4x + -18 Reorder the terms: 6 + 7x = -18 + -4x Solving 6 + 7x = -18 + -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. 6 + 7x + 4x = -18 + -4x + 4x Combine like terms: 7x + 4x = 11x 6 + 11x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 11x = -18 + 0 6 + 11x = -18 Add '-6' to each side of the equation. 6 + -6 + 11x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -18 + -6 11x = -18 + -6 Combine like terms: -18 + -6 = -24 11x = -24 Divide each side by '11'. x = -2.181818182 Simplifying x = -2.181818182
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