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Simplifying 4(x + 7) + -28 = -2(x + -3) + 42 Reorder the terms: 4(7 + x) + -28 = -2(x + -3) + 42 (7 * 4 + x * 4) + -28 = -2(x + -3) + 42 (28 + 4x) + -28 = -2(x + -3) + 42 Reorder the terms: 28 + -28 + 4x = -2(x + -3) + 42 Combine like terms: 28 + -28 = 0 0 + 4x = -2(x + -3) + 42 4x = -2(x + -3) + 42 Reorder the terms: 4x = -2(-3 + x) + 42 4x = (-3 * -2 + x * -2) + 42 4x = (6 + -2x) + 42 Reorder the terms: 4x = 6 + 42 + -2x Combine like terms: 6 + 42 = 48 4x = 48 + -2x Solving 4x = 48 + -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. 4x + 2x = 48 + -2x + 2x Combine like terms: 4x + 2x = 6x 6x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 6x = 48 + 0 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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