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Simplifying -6(-4x + 3) + -9x = 7(x + -3) + -3 Reorder the terms: -6(3 + -4x) + -9x = 7(x + -3) + -3 (3 * -6 + -4x * -6) + -9x = 7(x + -3) + -3 (-18 + 24x) + -9x = 7(x + -3) + -3 Combine like terms: 24x + -9x = 15x -18 + 15x = 7(x + -3) + -3 Reorder the terms: -18 + 15x = 7(-3 + x) + -3 -18 + 15x = (-3 * 7 + x * 7) + -3 -18 + 15x = (-21 + 7x) + -3 Reorder the terms: -18 + 15x = -21 + -3 + 7x Combine like terms: -21 + -3 = -24 -18 + 15x = -24 + 7x Solving -18 + 15x = -24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 15x + -7x = -24 + 7x + -7x Combine like terms: 15x + -7x = 8x -18 + 8x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 8x = -24 + 0 -18 + 8x = -24 Add '18' to each side of the equation. -18 + 18 + 8x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -24 + 18 8x = -24 + 18 Combine like terms: -24 + 18 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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