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Simplifying 5x + -3(2x + 6) = 7x + -6 Reorder the terms: 5x + -3(6 + 2x) = 7x + -6 5x + (6 * -3 + 2x * -3) = 7x + -6 5x + (-18 + -6x) = 7x + -6 Reorder the terms: -18 + 5x + -6x = 7x + -6 Combine like terms: 5x + -6x = -1x -18 + -1x = 7x + -6 Reorder the terms: -18 + -1x = -6 + 7x Solving -18 + -1x = -6 + 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. -18 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x -18 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -8x = -6 + 0 -18 + -8x = -6 Add '18' to each side of the equation. -18 + 18 + -8x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -6 + 18 -8x = -6 + 18 Combine like terms: -6 + 18 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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