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Simplifying 4(7x + 2) = 7 + 3(10x + -2) Reorder the terms: 4(2 + 7x) = 7 + 3(10x + -2) (2 * 4 + 7x * 4) = 7 + 3(10x + -2) (8 + 28x) = 7 + 3(10x + -2) Reorder the terms: 8 + 28x = 7 + 3(-2 + 10x) 8 + 28x = 7 + (-2 * 3 + 10x * 3) 8 + 28x = 7 + (-6 + 30x) Combine like terms: 7 + -6 = 1 8 + 28x = 1 + 30x Solving 8 + 28x = 1 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 8 + 28x + -30x = 1 + 30x + -30x Combine like terms: 28x + -30x = -2x 8 + -2x = 1 + 30x + -30x Combine like terms: 30x + -30x = 0 8 + -2x = 1 + 0 8 + -2x = 1 Add '-8' to each side of the equation. 8 + -8 + -2x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 1 + -8 -2x = 1 + -8 Combine like terms: 1 + -8 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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