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Simplifying 7x + 10 = 5(2x + -3) + 4 Reorder the terms: 10 + 7x = 5(2x + -3) + 4 Reorder the terms: 10 + 7x = 5(-3 + 2x) + 4 10 + 7x = (-3 * 5 + 2x * 5) + 4 10 + 7x = (-15 + 10x) + 4 Reorder the terms: 10 + 7x = -15 + 4 + 10x Combine like terms: -15 + 4 = -11 10 + 7x = -11 + 10x Solving 10 + 7x = -11 + 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. 10 + 7x + -10x = -11 + 10x + -10x Combine like terms: 7x + -10x = -3x 10 + -3x = -11 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -3x = -11 + 0 10 + -3x = -11 Add '-10' to each side of the equation. 10 + -10 + -3x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -11 + -10 -3x = -11 + -10 Combine like terms: -11 + -10 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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