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Simplifying 4(10 + -1x) + -3(15 + 16y) = 8 (10 * 4 + -1x * 4) + -3(15 + 16y) = 8 (40 + -4x) + -3(15 + 16y) = 8 40 + -4x + (15 * -3 + 16y * -3) = 8 40 + -4x + (-45 + -48y) = 8 Reorder the terms: 40 + -45 + -4x + -48y = 8 Combine like terms: 40 + -45 = -5 -5 + -4x + -48y = 8 Solving -5 + -4x + -48y = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4x + 5 + -48y = 8 + 5 Reorder the terms: -5 + 5 + -4x + -48y = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -4x + -48y = 8 + 5 -4x + -48y = 8 + 5 Combine like terms: 8 + 5 = 13 -4x + -48y = 13 Add '48y' to each side of the equation. -4x + -48y + 48y = 13 + 48y Combine like terms: -48y + 48y = 0 -4x + 0 = 13 + 48y -4x = 13 + 48y Divide each side by '-4'. x = -3.25 + -12y Simplifying x = -3.25 + -12y
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