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Simplifying 4(x + -3) + -7(x + -4) = 6 + -1x Reorder the terms: 4(-3 + x) + -7(x + -4) = 6 + -1x (-3 * 4 + x * 4) + -7(x + -4) = 6 + -1x (-12 + 4x) + -7(x + -4) = 6 + -1x Reorder the terms: -12 + 4x + -7(-4 + x) = 6 + -1x -12 + 4x + (-4 * -7 + x * -7) = 6 + -1x -12 + 4x + (28 + -7x) = 6 + -1x Reorder the terms: -12 + 28 + 4x + -7x = 6 + -1x Combine like terms: -12 + 28 = 16 16 + 4x + -7x = 6 + -1x Combine like terms: 4x + -7x = -3x 16 + -3x = 6 + -1x Solving 16 + -3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16 + -3x + x = 6 + -1x + x Combine like terms: -3x + x = -2x 16 + -2x = 6 + -1x + x Combine like terms: -1x + x = 0 16 + -2x = 6 + 0 16 + -2x = 6 Add '-16' to each side of the equation. 16 + -16 + -2x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 6 + -16 -2x = 6 + -16 Combine like terms: 6 + -16 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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