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Simplifying 10(x + -3) + -10 = 8x + -6 + -2x + -60 Reorder the terms: 10(-3 + x) + -10 = 8x + -6 + -2x + -60 (-3 * 10 + x * 10) + -10 = 8x + -6 + -2x + -60 (-30 + 10x) + -10 = 8x + -6 + -2x + -60 Reorder the terms: -30 + -10 + 10x = 8x + -6 + -2x + -60 Combine like terms: -30 + -10 = -40 -40 + 10x = 8x + -6 + -2x + -60 Reorder the terms: -40 + 10x = -6 + -60 + 8x + -2x Combine like terms: -6 + -60 = -66 -40 + 10x = -66 + 8x + -2x Combine like terms: 8x + -2x = 6x -40 + 10x = -66 + 6x Solving -40 + 10x = -66 + 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. -40 + 10x + -6x = -66 + 6x + -6x Combine like terms: 10x + -6x = 4x -40 + 4x = -66 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 4x = -66 + 0 -40 + 4x = -66 Add '40' to each side of the equation. -40 + 40 + 4x = -66 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = -66 + 40 4x = -66 + 40 Combine like terms: -66 + 40 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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