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Simplifying 4(x + -3) + -7(x + -4) = 6x Reorder the terms: 4(-3 + x) + -7(x + -4) = 6x (-3 * 4 + x * 4) + -7(x + -4) = 6x (-12 + 4x) + -7(x + -4) = 6x Reorder the terms: -12 + 4x + -7(-4 + x) = 6x -12 + 4x + (-4 * -7 + x * -7) = 6x -12 + 4x + (28 + -7x) = 6x Reorder the terms: -12 + 28 + 4x + -7x = 6x Combine like terms: -12 + 28 = 16 16 + 4x + -7x = 6x Combine like terms: 4x + -7x = -3x 16 + -3x = 6x Solving 16 + -3x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + -3x + -6x = 6x + -6x Combine like terms: -3x + -6x = -9x 16 + -9x = 6x + -6x Combine like terms: 6x + -6x = 0 16 + -9x = 0 Add '-16' to each side of the equation. 16 + -16 + -9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 0 + -16 -9x = 0 + -16 Combine like terms: 0 + -16 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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