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Simplifying -4(2x + 3) + -3 = -4(x + 1) + 2x Reorder the terms: -4(3 + 2x) + -3 = -4(x + 1) + 2x (3 * -4 + 2x * -4) + -3 = -4(x + 1) + 2x (-12 + -8x) + -3 = -4(x + 1) + 2x Reorder the terms: -12 + -3 + -8x = -4(x + 1) + 2x Combine like terms: -12 + -3 = -15 -15 + -8x = -4(x + 1) + 2x Reorder the terms: -15 + -8x = -4(1 + x) + 2x -15 + -8x = (1 * -4 + x * -4) + 2x -15 + -8x = (-4 + -4x) + 2x Combine like terms: -4x + 2x = -2x -15 + -8x = -4 + -2x Solving -15 + -8x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + -8x + 2x = -4 + -2x + 2x Combine like terms: -8x + 2x = -6x -15 + -6x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + -6x = -4 + 0 -15 + -6x = -4 Add '15' to each side of the equation. -15 + 15 + -6x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -4 + 15 -6x = -4 + 15 Combine like terms: -4 + 15 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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