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Simplifying 2(2x + -3) = 7(4x) Reorder the terms: 2(-3 + 2x) = 7(4x) (-3 * 2 + 2x * 2) = 7(4x) (-6 + 4x) = 7(4x) Remove parenthesis around (4x) -6 + 4x = 7 * 4x Multiply 7 * 4 -6 + 4x = 28x Solving -6 + 4x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -6 + 4x + -28x = 28x + -28x Combine like terms: 4x + -28x = -24x -6 + -24x = 28x + -28x Combine like terms: 28x + -28x = 0 -6 + -24x = 0 Add '6' to each side of the equation. -6 + 6 + -24x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -24x = 0 + 6 -24x = 0 + 6 Combine like terms: 0 + 6 = 6 -24x = 6 Divide each side by '-24'. x = -0.25 Simplifying x = -0.25
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