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Simplifying 4(2x + -3) + 1 = 3(4x + -5) + -1x Reorder the terms: 4(-3 + 2x) + 1 = 3(4x + -5) + -1x (-3 * 4 + 2x * 4) + 1 = 3(4x + -5) + -1x (-12 + 8x) + 1 = 3(4x + -5) + -1x Reorder the terms: -12 + 1 + 8x = 3(4x + -5) + -1x Combine like terms: -12 + 1 = -11 -11 + 8x = 3(4x + -5) + -1x Reorder the terms: -11 + 8x = 3(-5 + 4x) + -1x -11 + 8x = (-5 * 3 + 4x * 3) + -1x -11 + 8x = (-15 + 12x) + -1x Combine like terms: 12x + -1x = 11x -11 + 8x = -15 + 11x Solving -11 + 8x = -15 + 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. -11 + 8x + -11x = -15 + 11x + -11x Combine like terms: 8x + -11x = -3x -11 + -3x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -11 + -3x = -15 + 0 -11 + -3x = -15 Add '11' to each side of the equation. -11 + 11 + -3x = -15 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = -15 + 11 -3x = -15 + 11 Combine like terms: -15 + 11 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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