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Simplifying 40 + -6x = -8(x + -7) + 4x Reorder the terms: 40 + -6x = -8(-7 + x) + 4x 40 + -6x = (-7 * -8 + x * -8) + 4x 40 + -6x = (56 + -8x) + 4x Combine like terms: -8x + 4x = -4x 40 + -6x = 56 + -4x Solving 40 + -6x = 56 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 40 + -6x + 4x = 56 + -4x + 4x Combine like terms: -6x + 4x = -2x 40 + -2x = 56 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + -2x = 56 + 0 40 + -2x = 56 Add '-40' to each side of the equation. 40 + -40 + -2x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 56 + -40 -2x = 56 + -40 Combine like terms: 56 + -40 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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