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Simplifying 4(2x + 1) + -3x + -3 = 6x Reorder the terms: 4(1 + 2x) + -3x + -3 = 6x (1 * 4 + 2x * 4) + -3x + -3 = 6x (4 + 8x) + -3x + -3 = 6x Reorder the terms: 4 + -3 + 8x + -3x = 6x Combine like terms: 4 + -3 = 1 1 + 8x + -3x = 6x Combine like terms: 8x + -3x = 5x 1 + 5x = 6x Solving 1 + 5x = 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. 1 + 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = 0 Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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