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Simplifying 3x + -2(3x + 4) + 4x = 3x + 4(2x + -1) + 5 Reorder the terms: 3x + -2(4 + 3x) + 4x = 3x + 4(2x + -1) + 5 3x + (4 * -2 + 3x * -2) + 4x = 3x + 4(2x + -1) + 5 3x + (-8 + -6x) + 4x = 3x + 4(2x + -1) + 5 Reorder the terms: -8 + 3x + -6x + 4x = 3x + 4(2x + -1) + 5 Combine like terms: 3x + -6x = -3x -8 + -3x + 4x = 3x + 4(2x + -1) + 5 Combine like terms: -3x + 4x = 1x -8 + 1x = 3x + 4(2x + -1) + 5 Reorder the terms: -8 + 1x = 3x + 4(-1 + 2x) + 5 -8 + 1x = 3x + (-1 * 4 + 2x * 4) + 5 -8 + 1x = 3x + (-4 + 8x) + 5 Reorder the terms: -8 + 1x = -4 + 5 + 3x + 8x Combine like terms: -4 + 5 = 1 -8 + 1x = 1 + 3x + 8x Combine like terms: 3x + 8x = 11x -8 + 1x = 1 + 11x Solving -8 + 1x = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -8 + 1x + -11x = 1 + 11x + -11x Combine like terms: 1x + -11x = -10x -8 + -10x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + -10x = 1 + 0 -8 + -10x = 1 Add '8' to each side of the equation. -8 + 8 + -10x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 1 + 8 -10x = 1 + 8 Combine like terms: 1 + 8 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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