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Simplifying 7x + 7 = 10x + -38 Reorder the terms: 7 + 7x = 10x + -38 Reorder the terms: 7 + 7x = -38 + 10x Solving 7 + 7x = -38 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 7x + -10x = -38 + 10x + -10x Combine like terms: 7x + -10x = -3x 7 + -3x = -38 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -3x = -38 + 0 7 + -3x = -38 Add '-7' to each side of the equation. 7 + -7 + -3x = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -38 + -7 -3x = -38 + -7 Combine like terms: -38 + -7 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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