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Simplifying 7x + -3x + 7 = 3(x + -40) + 20 Reorder the terms: 7 + 7x + -3x = 3(x + -40) + 20 Combine like terms: 7x + -3x = 4x 7 + 4x = 3(x + -40) + 20 Reorder the terms: 7 + 4x = 3(-40 + x) + 20 7 + 4x = (-40 * 3 + x * 3) + 20 7 + 4x = (-120 + 3x) + 20 Reorder the terms: 7 + 4x = -120 + 20 + 3x Combine like terms: -120 + 20 = -100 7 + 4x = -100 + 3x Solving 7 + 4x = -100 + 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. 7 + 4x + -3x = -100 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = -100 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = -100 + 0 7 + 1x = -100 Add '-7' to each side of the equation. 7 + -7 + 1x = -100 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -100 + -7 1x = -100 + -7 Combine like terms: -100 + -7 = -107 1x = -107 Divide each side by '1'. x = -107 Simplifying x = -107
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