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Simplifying 4x + 6 = 3(x + 1) + -4 Reorder the terms: 6 + 4x = 3(x + 1) + -4 Reorder the terms: 6 + 4x = 3(1 + x) + -4 6 + 4x = (1 * 3 + x * 3) + -4 6 + 4x = (3 + 3x) + -4 Reorder the terms: 6 + 4x = 3 + -4 + 3x Combine like terms: 3 + -4 = -1 6 + 4x = -1 + 3x Solving 6 + 4x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = -1 + 0 6 + 1x = -1 Add '-6' to each side of the equation. 6 + -6 + 1x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -1 + -6 1x = -1 + -6 Combine like terms: -1 + -6 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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