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Simplifying 4(x + -3) + 1 = 8x + -5(x + 1) Reorder the terms: 4(-3 + x) + 1 = 8x + -5(x + 1) (-3 * 4 + x * 4) + 1 = 8x + -5(x + 1) (-12 + 4x) + 1 = 8x + -5(x + 1) Reorder the terms: -12 + 1 + 4x = 8x + -5(x + 1) Combine like terms: -12 + 1 = -11 -11 + 4x = 8x + -5(x + 1) Reorder the terms: -11 + 4x = 8x + -5(1 + x) -11 + 4x = 8x + (1 * -5 + x * -5) -11 + 4x = 8x + (-5 + -5x) Reorder the terms: -11 + 4x = -5 + 8x + -5x Combine like terms: 8x + -5x = 3x -11 + 4x = -5 + 3x Solving -11 + 4x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -11 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 1x = -5 + 0 -11 + 1x = -5 Add '11' to each side of the equation. -11 + 11 + 1x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -5 + 11 1x = -5 + 11 Combine like terms: -5 + 11 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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