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Simplifying 4(x + -2) + 7 = 1 + -3(1 + -3x) Reorder the terms: 4(-2 + x) + 7 = 1 + -3(1 + -3x) (-2 * 4 + x * 4) + 7 = 1 + -3(1 + -3x) (-8 + 4x) + 7 = 1 + -3(1 + -3x) Reorder the terms: -8 + 7 + 4x = 1 + -3(1 + -3x) Combine like terms: -8 + 7 = -1 -1 + 4x = 1 + -3(1 + -3x) -1 + 4x = 1 + (1 * -3 + -3x * -3) -1 + 4x = 1 + (-3 + 9x) Combine like terms: 1 + -3 = -2 -1 + 4x = -2 + 9x Solving -1 + 4x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 4x + -9x = -2 + 9x + -9x Combine like terms: 4x + -9x = -5x -1 + -5x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -5x = -2 + 0 -1 + -5x = -2 Add '1' to each side of the equation. -1 + 1 + -5x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -2 + 1 -5x = -2 + 1 Combine like terms: -2 + 1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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