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Simplifying 4(x + -3) + 8 = 3(x + -2) + 1 Reorder the terms: 4(-3 + x) + 8 = 3(x + -2) + 1 (-3 * 4 + x * 4) + 8 = 3(x + -2) + 1 (-12 + 4x) + 8 = 3(x + -2) + 1 Reorder the terms: -12 + 8 + 4x = 3(x + -2) + 1 Combine like terms: -12 + 8 = -4 -4 + 4x = 3(x + -2) + 1 Reorder the terms: -4 + 4x = 3(-2 + x) + 1 -4 + 4x = (-2 * 3 + x * 3) + 1 -4 + 4x = (-6 + 3x) + 1 Reorder the terms: -4 + 4x = -6 + 1 + 3x Combine like terms: -6 + 1 = -5 -4 + 4x = -5 + 3x Solving -4 + 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. -4 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = -5 + 0 -4 + 1x = -5 Add '4' to each side of the equation. -4 + 4 + 1x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -5 + 4 1x = -5 + 4 Combine like terms: -5 + 4 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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