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Simplifying 10(x + -3) + 2 = 4(8x + 4) Reorder the terms: 10(-3 + x) + 2 = 4(8x + 4) (-3 * 10 + x * 10) + 2 = 4(8x + 4) (-30 + 10x) + 2 = 4(8x + 4) Reorder the terms: -30 + 2 + 10x = 4(8x + 4) Combine like terms: -30 + 2 = -28 -28 + 10x = 4(8x + 4) Reorder the terms: -28 + 10x = 4(4 + 8x) -28 + 10x = (4 * 4 + 8x * 4) -28 + 10x = (16 + 32x) Solving -28 + 10x = 16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -28 + 10x + -32x = 16 + 32x + -32x Combine like terms: 10x + -32x = -22x -28 + -22x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 -28 + -22x = 16 + 0 -28 + -22x = 16 Add '28' to each side of the equation. -28 + 28 + -22x = 16 + 28 Combine like terms: -28 + 28 = 0 0 + -22x = 16 + 28 -22x = 16 + 28 Combine like terms: 16 + 28 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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