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Simplifying 6x + 1 = 4(x + -2) + 3 Reorder the terms: 1 + 6x = 4(x + -2) + 3 Reorder the terms: 1 + 6x = 4(-2 + x) + 3 1 + 6x = (-2 * 4 + x * 4) + 3 1 + 6x = (-8 + 4x) + 3 Reorder the terms: 1 + 6x = -8 + 3 + 4x Combine like terms: -8 + 3 = -5 1 + 6x = -5 + 4x Solving 1 + 6x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x 1 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 2x = -5 + 0 1 + 2x = -5 Add '-1' to each side of the equation. 1 + -1 + 2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -5 + -1 2x = -5 + -1 Combine like terms: -5 + -1 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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