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Simplifying 5x + 7 = 6x + 2(0.5) Reorder the terms: 7 + 5x = 6x + 2(0.5) Multiply 2 * 0.5 7 + 5x = 6x + 1 Reorder the terms: 7 + 5x = 1 + 6x Solving 7 + 5x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = 1 + 0 7 + -1x = 1 Add '-7' to each side of the equation. 7 + -7 + -1x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 1 + -7 -1x = 1 + -7 Combine like terms: 1 + -7 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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