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Simplifying 4x + 7 = 1 + 21(2x + 3) Reorder the terms: 7 + 4x = 1 + 21(2x + 3) Reorder the terms: 7 + 4x = 1 + 21(3 + 2x) 7 + 4x = 1 + (3 * 21 + 2x * 21) 7 + 4x = 1 + (63 + 42x) Combine like terms: 1 + 63 = 64 7 + 4x = 64 + 42x Solving 7 + 4x = 64 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 7 + 4x + -42x = 64 + 42x + -42x Combine like terms: 4x + -42x = -38x 7 + -38x = 64 + 42x + -42x Combine like terms: 42x + -42x = 0 7 + -38x = 64 + 0 7 + -38x = 64 Add '-7' to each side of the equation. 7 + -7 + -38x = 64 + -7 Combine like terms: 7 + -7 = 0 0 + -38x = 64 + -7 -38x = 64 + -7 Combine like terms: 64 + -7 = 57 -38x = 57 Divide each side by '-38'. x = -1.5 Simplifying x = -1.5
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