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Simplifying 4x + -3 + 6x + 10 = x + 52 Reorder the terms: -3 + 10 + 4x + 6x = x + 52 Combine like terms: -3 + 10 = 7 7 + 4x + 6x = x + 52 Combine like terms: 4x + 6x = 10x 7 + 10x = x + 52 Reorder the terms: 7 + 10x = 52 + x Solving 7 + 10x = 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 + 10x + -1x = 52 + x + -1x Combine like terms: 10x + -1x = 9x 7 + 9x = 52 + x + -1x Combine like terms: x + -1x = 0 7 + 9x = 52 + 0 7 + 9x = 52 Add '-7' to each side of the equation. 7 + -7 + 9x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 52 + -7 9x = 52 + -7 Combine like terms: 52 + -7 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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