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Simplifying 4(3x + -2) + -5 = 4(x + -3) + 55 Reorder the terms: 4(-2 + 3x) + -5 = 4(x + -3) + 55 (-2 * 4 + 3x * 4) + -5 = 4(x + -3) + 55 (-8 + 12x) + -5 = 4(x + -3) + 55 Reorder the terms: -8 + -5 + 12x = 4(x + -3) + 55 Combine like terms: -8 + -5 = -13 -13 + 12x = 4(x + -3) + 55 Reorder the terms: -13 + 12x = 4(-3 + x) + 55 -13 + 12x = (-3 * 4 + x * 4) + 55 -13 + 12x = (-12 + 4x) + 55 Reorder the terms: -13 + 12x = -12 + 55 + 4x Combine like terms: -12 + 55 = 43 -13 + 12x = 43 + 4x Solving -13 + 12x = 43 + 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. -13 + 12x + -4x = 43 + 4x + -4x Combine like terms: 12x + -4x = 8x -13 + 8x = 43 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 8x = 43 + 0 -13 + 8x = 43 Add '13' to each side of the equation. -13 + 13 + 8x = 43 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 43 + 13 8x = 43 + 13 Combine like terms: 43 + 13 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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