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Simplifying (6.50)(10) + 2x = 4(x + 10) Multiply 6.50 * 10 65 + 2x = 4(x + 10) Reorder the terms: 65 + 2x = 4(10 + x) 65 + 2x = (10 * 4 + x * 4) 65 + 2x = (40 + 4x) Solving 65 + 2x = 40 + 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. 65 + 2x + -4x = 40 + 4x + -4x Combine like terms: 2x + -4x = -2x 65 + -2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 65 + -2x = 40 + 0 65 + -2x = 40 Add '-65' to each side of the equation. 65 + -65 + -2x = 40 + -65 Combine like terms: 65 + -65 = 0 0 + -2x = 40 + -65 -2x = 40 + -65 Combine like terms: 40 + -65 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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