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Simplifying 5x + 6(2x + -7) = -23 + -2x Reorder the terms: 5x + 6(-7 + 2x) = -23 + -2x 5x + (-7 * 6 + 2x * 6) = -23 + -2x 5x + (-42 + 12x) = -23 + -2x Reorder the terms: -42 + 5x + 12x = -23 + -2x Combine like terms: 5x + 12x = 17x -42 + 17x = -23 + -2x Solving -42 + 17x = -23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + 17x + 2x = -23 + -2x + 2x Combine like terms: 17x + 2x = 19x -42 + 19x = -23 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 19x = -23 + 0 -42 + 19x = -23 Add '42' to each side of the equation. -42 + 42 + 19x = -23 + 42 Combine like terms: -42 + 42 = 0 0 + 19x = -23 + 42 19x = -23 + 42 Combine like terms: -23 + 42 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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