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Simplifying 4(x + 7) + 10 = 3(2x + 6) Reorder the terms: 4(7 + x) + 10 = 3(2x + 6) (7 * 4 + x * 4) + 10 = 3(2x + 6) (28 + 4x) + 10 = 3(2x + 6) Reorder the terms: 28 + 10 + 4x = 3(2x + 6) Combine like terms: 28 + 10 = 38 38 + 4x = 3(2x + 6) Reorder the terms: 38 + 4x = 3(6 + 2x) 38 + 4x = (6 * 3 + 2x * 3) 38 + 4x = (18 + 6x) Solving 38 + 4x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + 4x + -6x = 18 + 6x + -6x Combine like terms: 4x + -6x = -2x 38 + -2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -2x = 18 + 0 38 + -2x = 18 Add '-38' to each side of the equation. 38 + -38 + -2x = 18 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 18 + -38 -2x = 18 + -38 Combine like terms: 18 + -38 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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