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Simplifying 2(5x + -3) + 7 = 2x + 7 Reorder the terms: 2(-3 + 5x) + 7 = 2x + 7 (-3 * 2 + 5x * 2) + 7 = 2x + 7 (-6 + 10x) + 7 = 2x + 7 Reorder the terms: -6 + 7 + 10x = 2x + 7 Combine like terms: -6 + 7 = 1 1 + 10x = 2x + 7 Reorder the terms: 1 + 10x = 7 + 2x Solving 1 + 10x = 7 + 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. 1 + 10x + -2x = 7 + 2x + -2x Combine like terms: 10x + -2x = 8x 1 + 8x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 8x = 7 + 0 1 + 8x = 7 Add '-1' to each side of the equation. 1 + -1 + 8x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 7 + -1 8x = 7 + -1 Combine like terms: 7 + -1 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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