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Simplifying 4(3x + -40) + -2 = 4(x + -3) + 58 Reorder the terms: 4(-40 + 3x) + -2 = 4(x + -3) + 58 (-40 * 4 + 3x * 4) + -2 = 4(x + -3) + 58 (-160 + 12x) + -2 = 4(x + -3) + 58 Reorder the terms: -160 + -2 + 12x = 4(x + -3) + 58 Combine like terms: -160 + -2 = -162 -162 + 12x = 4(x + -3) + 58 Reorder the terms: -162 + 12x = 4(-3 + x) + 58 -162 + 12x = (-3 * 4 + x * 4) + 58 -162 + 12x = (-12 + 4x) + 58 Reorder the terms: -162 + 12x = -12 + 58 + 4x Combine like terms: -12 + 58 = 46 -162 + 12x = 46 + 4x Solving -162 + 12x = 46 + 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. -162 + 12x + -4x = 46 + 4x + -4x Combine like terms: 12x + -4x = 8x -162 + 8x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 -162 + 8x = 46 + 0 -162 + 8x = 46 Add '162' to each side of the equation. -162 + 162 + 8x = 46 + 162 Combine like terms: -162 + 162 = 0 0 + 8x = 46 + 162 8x = 46 + 162 Combine like terms: 46 + 162 = 208 8x = 208 Divide each side by '8'. x = 26 Simplifying x = 26
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