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Simplifying 10y + -4(2.5 + 2) + 3x = (3 + -1x) Combine like terms: 2.5 + 2 = 4.5 10y + -4(4.5) + 3x = (3 + -1x) Multiply -4 * 4.5 10y + -18 + 3x = (3 + -1x) Reorder the terms: -18 + 3x + 10y = (3 + -1x) Remove parenthesis around (3 + -1x) -18 + 3x + 10y = 3 + -1x Solving -18 + 3x + 10y = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + 3x + x + 10y = 3 + -1x + x Combine like terms: 3x + x = 4x -18 + 4x + 10y = 3 + -1x + x Combine like terms: -1x + x = 0 -18 + 4x + 10y = 3 + 0 -18 + 4x + 10y = 3 Add '18' to each side of the equation. -18 + 4x + 18 + 10y = 3 + 18 Reorder the terms: -18 + 18 + 4x + 10y = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 4x + 10y = 3 + 18 4x + 10y = 3 + 18 Combine like terms: 3 + 18 = 21 4x + 10y = 21 Add '-10y' to each side of the equation. 4x + 10y + -10y = 21 + -10y Combine like terms: 10y + -10y = 0 4x + 0 = 21 + -10y 4x = 21 + -10y Divide each side by '4'. x = 5.25 + -2.5y Simplifying x = 5.25 + -2.5y
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