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Simplifying 8(x + -20) + -10(x + 7) = 6(2x + 3) + -48 Reorder the terms: 8(-20 + x) + -10(x + 7) = 6(2x + 3) + -48 (-20 * 8 + x * 8) + -10(x + 7) = 6(2x + 3) + -48 (-160 + 8x) + -10(x + 7) = 6(2x + 3) + -48 Reorder the terms: -160 + 8x + -10(7 + x) = 6(2x + 3) + -48 -160 + 8x + (7 * -10 + x * -10) = 6(2x + 3) + -48 -160 + 8x + (-70 + -10x) = 6(2x + 3) + -48 Reorder the terms: -160 + -70 + 8x + -10x = 6(2x + 3) + -48 Combine like terms: -160 + -70 = -230 -230 + 8x + -10x = 6(2x + 3) + -48 Combine like terms: 8x + -10x = -2x -230 + -2x = 6(2x + 3) + -48 Reorder the terms: -230 + -2x = 6(3 + 2x) + -48 -230 + -2x = (3 * 6 + 2x * 6) + -48 -230 + -2x = (18 + 12x) + -48 Reorder the terms: -230 + -2x = 18 + -48 + 12x Combine like terms: 18 + -48 = -30 -230 + -2x = -30 + 12x Solving -230 + -2x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -230 + -2x + -12x = -30 + 12x + -12x Combine like terms: -2x + -12x = -14x -230 + -14x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -230 + -14x = -30 + 0 -230 + -14x = -30 Add '230' to each side of the equation. -230 + 230 + -14x = -30 + 230 Combine like terms: -230 + 230 = 0 0 + -14x = -30 + 230 -14x = -30 + 230 Combine like terms: -30 + 230 = 200 -14x = 200 Divide each side by '-14'. x = -14.28571429 Simplifying x = -14.28571429
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