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Simplifying x(2) + -3x + 7 = x + 52 Reorder the terms for easier multiplication: 2x + -3x + 7 = x + 52 Reorder the terms: 7 + 2x + -3x = x + 52 Combine like terms: 2x + -3x = -1x 7 + -1x = x + 52 Reorder the terms: 7 + -1x = 52 + x Solving 7 + -1x = 52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x + -1x = 52 + x + -1x Combine like terms: -1x + -1x = -2x 7 + -2x = 52 + x + -1x Combine like terms: x + -1x = 0 7 + -2x = 52 + 0 7 + -2x = 52 Add '-7' to each side of the equation. 7 + -7 + -2x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 52 + -7 -2x = 52 + -7 Combine like terms: 52 + -7 = 45 -2x = 45 Divide each side by '-2'. x = -22.5 Simplifying x = -22.5
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