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Simplifying 4(x + 2) + -6 = 2x + -7 Reorder the terms: 4(2 + x) + -6 = 2x + -7 (2 * 4 + x * 4) + -6 = 2x + -7 (8 + 4x) + -6 = 2x + -7 Reorder the terms: 8 + -6 + 4x = 2x + -7 Combine like terms: 8 + -6 = 2 2 + 4x = 2x + -7 Reorder the terms: 2 + 4x = -7 + 2x Solving 2 + 4x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = -7 + 0 2 + 2x = -7 Add '-2' to each side of the equation. 2 + -2 + 2x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -7 + -2 2x = -7 + -2 Combine like terms: -7 + -2 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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