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Simplifying 4(x + -7) = 2x + 11 + -3(2x + 1) Reorder the terms: 4(-7 + x) = 2x + 11 + -3(2x + 1) (-7 * 4 + x * 4) = 2x + 11 + -3(2x + 1) (-28 + 4x) = 2x + 11 + -3(2x + 1) Reorder the terms: -28 + 4x = 2x + 11 + -3(1 + 2x) -28 + 4x = 2x + 11 + (1 * -3 + 2x * -3) -28 + 4x = 2x + 11 + (-3 + -6x) Reorder the terms: -28 + 4x = 11 + -3 + 2x + -6x Combine like terms: 11 + -3 = 8 -28 + 4x = 8 + 2x + -6x Combine like terms: 2x + -6x = -4x -28 + 4x = 8 + -4x Solving -28 + 4x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -28 + 4x + 4x = 8 + -4x + 4x Combine like terms: 4x + 4x = 8x -28 + 8x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 8x = 8 + 0 -28 + 8x = 8 Add '28' to each side of the equation. -28 + 28 + 8x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 8 + 28 8x = 8 + 28 Combine like terms: 8 + 28 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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