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Simplifying 4x + 2y + -7 = 5(2x + -3) Reorder the terms: -7 + 4x + 2y = 5(2x + -3) Reorder the terms: -7 + 4x + 2y = 5(-3 + 2x) -7 + 4x + 2y = (-3 * 5 + 2x * 5) -7 + 4x + 2y = (-15 + 10x) Solving -7 + 4x + 2y = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 4x + -10x + 2y = -15 + 10x + -10x Combine like terms: 4x + -10x = -6x -7 + -6x + 2y = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -6x + 2y = -15 + 0 -7 + -6x + 2y = -15 Add '7' to each side of the equation. -7 + -6x + 7 + 2y = -15 + 7 Reorder the terms: -7 + 7 + -6x + 2y = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -6x + 2y = -15 + 7 -6x + 2y = -15 + 7 Combine like terms: -15 + 7 = -8 -6x + 2y = -8 Add '-2y' to each side of the equation. -6x + 2y + -2y = -8 + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = -8 + -2y -6x = -8 + -2y Divide each side by '-6'. x = 1.333333333 + 0.3333333333y Simplifying x = 1.333333333 + 0.3333333333y
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