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Simplifying x + -3x + 3x + 7 = 4x + 7 + -3 + -1x Reorder the terms: 7 + x + -3x + 3x = 4x + 7 + -3 + -1x Combine like terms: x + -3x = -2x 7 + -2x + 3x = 4x + 7 + -3 + -1x Combine like terms: -2x + 3x = 1x 7 + 1x = 4x + 7 + -3 + -1x Reorder the terms: 7 + 1x = 7 + -3 + 4x + -1x Combine like terms: 7 + -3 = 4 7 + 1x = 4 + 4x + -1x Combine like terms: 4x + -1x = 3x 7 + 1x = 4 + 3x Solving 7 + 1x = 4 + 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 + 1x + -3x = 4 + 3x + -3x Combine like terms: 1x + -3x = -2x 7 + -2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -2x = 4 + 0 7 + -2x = 4 Add '-7' to each side of the equation. 7 + -7 + -2x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 4 + -7 -2x = 4 + -7 Combine like terms: 4 + -7 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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