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Simplifying 6x + 40 = 8(-7 + 3x) + 6x Reorder the terms: 40 + 6x = 8(-7 + 3x) + 6x 40 + 6x = (-7 * 8 + 3x * 8) + 6x 40 + 6x = (-56 + 24x) + 6x Combine like terms: 24x + 6x = 30x 40 + 6x = -56 + 30x Solving 40 + 6x = -56 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 40 + 6x + -30x = -56 + 30x + -30x Combine like terms: 6x + -30x = -24x 40 + -24x = -56 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + -24x = -56 + 0 40 + -24x = -56 Add '-40' to each side of the equation. 40 + -40 + -24x = -56 + -40 Combine like terms: 40 + -40 = 0 0 + -24x = -56 + -40 -24x = -56 + -40 Combine like terms: -56 + -40 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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