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Simplifying 4x + 10 = 2(x + -3) + 30 Reorder the terms: 10 + 4x = 2(x + -3) + 30 Reorder the terms: 10 + 4x = 2(-3 + x) + 30 10 + 4x = (-3 * 2 + x * 2) + 30 10 + 4x = (-6 + 2x) + 30 Reorder the terms: 10 + 4x = -6 + 30 + 2x Combine like terms: -6 + 30 = 24 10 + 4x = 24 + 2x Solving 10 + 4x = 24 + 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. 10 + 4x + -2x = 24 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 24 + 0 10 + 2x = 24 Add '-10' to each side of the equation. 10 + -10 + 2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 24 + -10 2x = 24 + -10 Combine like terms: 24 + -10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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