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Simplifying -7(4x + 21) = 5(2x + 1) Reorder the terms: -7(21 + 4x) = 5(2x + 1) (21 * -7 + 4x * -7) = 5(2x + 1) (-147 + -28x) = 5(2x + 1) Reorder the terms: -147 + -28x = 5(1 + 2x) -147 + -28x = (1 * 5 + 2x * 5) -147 + -28x = (5 + 10x) Solving -147 + -28x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -147 + -28x + -10x = 5 + 10x + -10x Combine like terms: -28x + -10x = -38x -147 + -38x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -147 + -38x = 5 + 0 -147 + -38x = 5 Add '147' to each side of the equation. -147 + 147 + -38x = 5 + 147 Combine like terms: -147 + 147 = 0 0 + -38x = 5 + 147 -38x = 5 + 147 Combine like terms: 5 + 147 = 152 -38x = 152 Divide each side by '-38'. x = -4 Simplifying x = -4
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