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Simplifying 4(x + 2) + -7 = 6x + 8 + -3x Reorder the terms: 4(2 + x) + -7 = 6x + 8 + -3x (2 * 4 + x * 4) + -7 = 6x + 8 + -3x (8 + 4x) + -7 = 6x + 8 + -3x Reorder the terms: 8 + -7 + 4x = 6x + 8 + -3x Combine like terms: 8 + -7 = 1 1 + 4x = 6x + 8 + -3x Reorder the terms: 1 + 4x = 8 + 6x + -3x Combine like terms: 6x + -3x = 3x 1 + 4x = 8 + 3x Solving 1 + 4x = 8 + 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. 1 + 4x + -3x = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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