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Simplifying 4(7x + -3) + -10x = 6x + -24 Reorder the terms: 4(-3 + 7x) + -10x = 6x + -24 (-3 * 4 + 7x * 4) + -10x = 6x + -24 (-12 + 28x) + -10x = 6x + -24 Combine like terms: 28x + -10x = 18x -12 + 18x = 6x + -24 Reorder the terms: -12 + 18x = -24 + 6x Solving -12 + 18x = -24 + 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. -12 + 18x + -6x = -24 + 6x + -6x Combine like terms: 18x + -6x = 12x -12 + 12x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 12x = -24 + 0 -12 + 12x = -24 Add '12' to each side of the equation. -12 + 12 + 12x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = -24 + 12 12x = -24 + 12 Combine like terms: -24 + 12 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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