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Simplifying 8(2x + -6) + 7x = -7x + -18 Reorder the terms: 8(-6 + 2x) + 7x = -7x + -18 (-6 * 8 + 2x * 8) + 7x = -7x + -18 (-48 + 16x) + 7x = -7x + -18 Combine like terms: 16x + 7x = 23x -48 + 23x = -7x + -18 Reorder the terms: -48 + 23x = -18 + -7x Solving -48 + 23x = -18 + -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. -48 + 23x + 7x = -18 + -7x + 7x Combine like terms: 23x + 7x = 30x -48 + 30x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 -48 + 30x = -18 + 0 -48 + 30x = -18 Add '48' to each side of the equation. -48 + 48 + 30x = -18 + 48 Combine like terms: -48 + 48 = 0 0 + 30x = -18 + 48 30x = -18 + 48 Combine like terms: -18 + 48 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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