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Simplifying 5(2x + -6) + 7 = 2x + 6.5 Reorder the terms: 5(-6 + 2x) + 7 = 2x + 6.5 (-6 * 5 + 2x * 5) + 7 = 2x + 6.5 (-30 + 10x) + 7 = 2x + 6.5 Reorder the terms: -30 + 7 + 10x = 2x + 6.5 Combine like terms: -30 + 7 = -23 -23 + 10x = 2x + 6.5 Reorder the terms: -23 + 10x = 6.5 + 2x Solving -23 + 10x = 6.5 + 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. -23 + 10x + -2x = 6.5 + 2x + -2x Combine like terms: 10x + -2x = 8x -23 + 8x = 6.5 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 8x = 6.5 + 0 -23 + 8x = 6.5 Add '23' to each side of the equation. -23 + 23 + 8x = 6.5 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 6.5 + 23 8x = 6.5 + 23 Combine like terms: 6.5 + 23 = 29.5 8x = 29.5 Divide each side by '8'. x = 3.6875 Simplifying x = 3.6875
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