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Simplifying 4(2x + 7) = 2(x + -3) + 2 Reorder the terms: 4(7 + 2x) = 2(x + -3) + 2 (7 * 4 + 2x * 4) = 2(x + -3) + 2 (28 + 8x) = 2(x + -3) + 2 Reorder the terms: 28 + 8x = 2(-3 + x) + 2 28 + 8x = (-3 * 2 + x * 2) + 2 28 + 8x = (-6 + 2x) + 2 Reorder the terms: 28 + 8x = -6 + 2 + 2x Combine like terms: -6 + 2 = -4 28 + 8x = -4 + 2x Solving 28 + 8x = -4 + 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. 28 + 8x + -2x = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x 28 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 6x = -4 + 0 28 + 6x = -4 Add '-28' to each side of the equation. 28 + -28 + 6x = -4 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = -4 + -28 6x = -4 + -28 Combine like terms: -4 + -28 = -32 6x = -32 Divide each side by '6'. x = -5.333333333 Simplifying x = -5.333333333
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