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Simplifying 4(x + -1) + -3(2x + -5) = 4(3x + 2) Reorder the terms: 4(-1 + x) + -3(2x + -5) = 4(3x + 2) (-1 * 4 + x * 4) + -3(2x + -5) = 4(3x + 2) (-4 + 4x) + -3(2x + -5) = 4(3x + 2) Reorder the terms: -4 + 4x + -3(-5 + 2x) = 4(3x + 2) -4 + 4x + (-5 * -3 + 2x * -3) = 4(3x + 2) -4 + 4x + (15 + -6x) = 4(3x + 2) Reorder the terms: -4 + 15 + 4x + -6x = 4(3x + 2) Combine like terms: -4 + 15 = 11 11 + 4x + -6x = 4(3x + 2) Combine like terms: 4x + -6x = -2x 11 + -2x = 4(3x + 2) Reorder the terms: 11 + -2x = 4(2 + 3x) 11 + -2x = (2 * 4 + 3x * 4) 11 + -2x = (8 + 12x) Solving 11 + -2x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + -2x + -12x = 8 + 12x + -12x Combine like terms: -2x + -12x = -14x 11 + -14x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -14x = 8 + 0 11 + -14x = 8 Add '-11' to each side of the equation. 11 + -11 + -14x = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -14x = 8 + -11 -14x = 8 + -11 Combine like terms: 8 + -11 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143
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