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Simplifying 4(2x + 7) = 6(3x + -7) Reorder the terms: 4(7 + 2x) = 6(3x + -7) (7 * 4 + 2x * 4) = 6(3x + -7) (28 + 8x) = 6(3x + -7) Reorder the terms: 28 + 8x = 6(-7 + 3x) 28 + 8x = (-7 * 6 + 3x * 6) 28 + 8x = (-42 + 18x) Solving 28 + 8x = -42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 28 + 8x + -18x = -42 + 18x + -18x Combine like terms: 8x + -18x = -10x 28 + -10x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 28 + -10x = -42 + 0 28 + -10x = -42 Add '-28' to each side of the equation. 28 + -28 + -10x = -42 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = -42 + -28 -10x = -42 + -28 Combine like terms: -42 + -28 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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