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Simplifying 4(3x + -3) + 5 = 8x + -1 Reorder the terms: 4(-3 + 3x) + 5 = 8x + -1 (-3 * 4 + 3x * 4) + 5 = 8x + -1 (-12 + 12x) + 5 = 8x + -1 Reorder the terms: -12 + 5 + 12x = 8x + -1 Combine like terms: -12 + 5 = -7 -7 + 12x = 8x + -1 Reorder the terms: -7 + 12x = -1 + 8x Solving -7 + 12x = -1 + 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. -7 + 12x + -8x = -1 + 8x + -8x Combine like terms: 12x + -8x = 4x -7 + 4x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 4x = -1 + 0 -7 + 4x = -1 Add '7' to each side of the equation. -7 + 7 + 4x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -1 + 7 4x = -1 + 7 Combine like terms: -1 + 7 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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