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Simplifying x + 3x + -8 = 2(4x + -7) + 3 Reorder the terms: -8 + x + 3x = 2(4x + -7) + 3 Combine like terms: x + 3x = 4x -8 + 4x = 2(4x + -7) + 3 Reorder the terms: -8 + 4x = 2(-7 + 4x) + 3 -8 + 4x = (-7 * 2 + 4x * 2) + 3 -8 + 4x = (-14 + 8x) + 3 Reorder the terms: -8 + 4x = -14 + 3 + 8x Combine like terms: -14 + 3 = -11 -8 + 4x = -11 + 8x Solving -8 + 4x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 4x + -8x = -11 + 8x + -8x Combine like terms: 4x + -8x = -4x -8 + -4x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -4x = -11 + 0 -8 + -4x = -11 Add '8' to each side of the equation. -8 + 8 + -4x = -11 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -11 + 8 -4x = -11 + 8 Combine like terms: -11 + 8 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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