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Simplifying 4(x + -7) = 5(2x + 1) Reorder the terms: 4(-7 + x) = 5(2x + 1) (-7 * 4 + x * 4) = 5(2x + 1) (-28 + 4x) = 5(2x + 1) Reorder the terms: -28 + 4x = 5(1 + 2x) -28 + 4x = (1 * 5 + 2x * 5) -28 + 4x = (5 + 10x) Solving -28 + 4x = 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. -28 + 4x + -10x = 5 + 10x + -10x Combine like terms: 4x + -10x = -6x -28 + -6x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -28 + -6x = 5 + 0 -28 + -6x = 5 Add '28' to each side of the equation. -28 + 28 + -6x = 5 + 28 Combine like terms: -28 + 28 = 0 0 + -6x = 5 + 28 -6x = 5 + 28 Combine like terms: 5 + 28 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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